| 36704 | March 31 | Birth | 1730 – Étienne Bézout, French mathematician and theorist (d. 1783) |
| 36705 | March 31 | Birth | 1732 – Joseph Haydn, Austrian pianist and composer (d. 1809) |
| 36706 | March 31 | Birth | 1740 – Panoutsos Notaras, Greek politician (d. 1849) |
| 36707 | March 31 | Birth | 1747 – Johann Abraham Peter Schulz, German pianist and composer (d. 1800) |
| 36708 | March 31 | Birth | 1777 – Charles Cagniard de la Tour, French physicist and engineer (d. 1859) |
| 36709 | March 31 | Birth | 1778 – Coenraad Jacob Temminck, Dutch zoologist and ornithologist (d. 1858) |
| 36710 | March 31 | Birth | 1794 – Thomas McKean Thompson McKennan, American lawyer and politician, 2nd United States Secretary of the Interior (d. 1852) |
| 36711 | March 31 | Birth | 1809 – Edward FitzGerald, English poet and translator (d. 1883) |
| 36712 | March 31 | Birth | 1809 – Nikolai Gogol, Ukrainian-Russian author and playwright (d. 1852) |
| 36713 | March 31 | Birth | 1809 – Otto Lindblad, Swedish composer (d. 1864) |
| 36714 | March 31 | Birth | 1819 – Chlodwig, Prince of Hohenlohe-Schillingsfürst (d. 1901) |
| 36715 | March 31 | Birth | 1823 – Mary Boykin Chesnut, American author (d. 1886) |
| 36716 | March 31 | Birth | 1847 – Hermann de Pourtalès, Swiss sailor (d. 1904) |
| 36717 | March 31 | Birth | 1847 – Yegor Ivanovich Zolotarev, Russian mathematician and theorist (d. 1878) |
| 36718 | March 31 | Birth | 1855 – Alfred E. Hunt, American businessman (d. 1899) |
| 36719 | March 31 | Birth | 1859 – Emil Fenyvessy, Hungarian actor and screenwriter (d. 1924) |
| 36720 | March 31 | Birth | 1865 – Anandi Gopal Joshi, Indian physician (d. 1887) |
| 36691 | March 31 | Birth | 1499 – Pope Pius IV (d. 1565) |
| 36692 | March 31 | Birth | 1504 – Guru Angad, Indian guru (d. 1552) |
| 36693 | March 31 | Birth | 1519 – Henry II of France (d. 1559) |
| 36694 | March 31 | Birth | 1536 – Ashikaga Yoshiteru, Japanese shogun (d. 1565) |
| 36695 | March 31 | Birth | 1576 – Countess Louise Juliana of Nassau (d. 1644) |
| 36696 | March 31 | Birth | 1596 – René Descartes, French mathematician and philosopher (d. 1650) |
| 36697 | March 31 | Birth | 1621 – Andrew Marvell, English poet and politician (d. 1678) |
| 36698 | March 31 | Birth | 1644 – Henry Winstanley, English painter and engineer (d. 1703) |
| 36699 | March 31 | Birth | 1651 – Charles II, Elector Palatine, German husband of Princess Wilhelmine Ernestine of Denmark (d. 1685) |
| 36700 | March 31 | Birth | 1675 – Pope Benedict XIV (d. 1758) |
| 36701 | March 31 | Birth | 1685 – Johann Sebastian Bach, German organist and composer (d. 1750) |
| 36702 | March 31 | Birth | 1718 – Mariana Victoria of Spain (d. 1781) |
| 36703 | March 31 | Birth | 1723 – Frederick V of Denmark (d. 1766) |