3724

3724 is a natural number that follows 3723 and precedes 3725. It is an even, composite integer with a distinct prime factorization.

The prime factorization of 3724 is 2^2 × 7^2 × 19. From this, the number of positive divisors is (2+1)(2+1)(1+1) = 18. The sum of all positive divisors is 7 × 57 × 20 = 7980, so the sum of the proper divisors is 7980 − 3724 = 4256. Because the sum of its proper divisors exceeds the number itself, 3724 is classified as an abundant number. It is not a perfect square, since 61^2 = 3721 and 62^2 = 3844.

In various representations, 3724 can be written as follows: in Roman numerals, MMMDCCXXIV; in binary, 111010001100; in octal, 7214; and in hexadecimal, E8C.

The digital sum of 3724 is 3 + 7 + 2 + 4 = 16, which does not divide 3724, so 3724 is not a Harshad number in base 10.

Its Euler’s totient value is φ(3724) = 3724 × (1 − 1/2) × (1 − 1/7) × (1 − 1/19) = 1512.

Beyond mathematics, 3724 may be encountered as a numerical designation or identifier in various catalogs or systems, but there is no single widely recognized topic uniquely associated with the number.