3696

3696 is a natural number that sits between 3695 and 3697. It is an even composite integer used in arithmetic examples and number theory discussions.

Its prime factorization is 2^4 × 3 × 7 × 11, which implies it has 40 positive divisors. The sum of all divisors is 11,904, so the sum of proper divisors is 8,208, making 3696 an abundant number. The number is also divisible by 11, as shown by the digit test 3 − 6 + 9 − 6 = 0.

In various representations, 3696 equals 0xE70 in hexadecimal, and in binary it is 111001110000. In Roman numerals it is MMMDCXCVI.

The Euler totient of 3696 is 960, and the Carmichael function value is 60. The number is divisible by 2, 3, 7, and 11, but not by 5, 13, or 17.

Aside from mathematics, there are no widely cited uses of 3696 as a year designation or code in common reference sources.