3800

3800 is a natural number that comes after 3799 and before 3801. It is an even, composite integer used in arithmetic and counting.

In mathematics, the prime factorization of 3800 is 2^3 · 5^2 · 19, so it has 24 positive divisors. Among these are 1, 2, 4, 5, 8, 10, 19, 20, 25, 38, 40, 50, 76, 95, 100, 152, 190, 200, 380, 475, 760, 950, 1900, and 3800. Its Euler’s totient is φ(3800) = 1440, reflecting the count of integers up to 3800 that are relatively prime to it. In binary, 3800 is 111011011000, and in hexadecimal it is 0xED8. In Roman numerals, 3800 is written as MMMDCCC.

As a calendar reference, 3800 could denote a year in the distant future AD or a year in BCE within historical timelines; there are no widely recorded, specific events universally associated with that particular year in standard histories.

See also the general properties of four-migit multiples and numbers with similar prime factors for comparative context.