3657

3657 is a natural number that follows 3656 and precedes 3658. In mathematics, it factors as 3 × 23 × 53, the product of three distinct primes. Consequently, it has eight positive divisors: 1, 3, 23, 53, 69 (3×23), 159 (3×53), 1219 (23×53), and 3657. This factorization shows that 3657 is not prime, not a square, and not a cube.

The sum of all divisors of 3657 is 5184, which means the sum of its proper divisors is 5184 − 3657 = 1527. Since 1527 < 3657, 3657 is classified as a deficient number. It is odd and divisible by 3, with no remainder when divided by 3, and it is congruent to 1 modulo 4.

In other contexts, 3657 may appear as a numerical designation such as a serial or catalog number, or as a hypothetical year in far-future projections. As a four-digit integer, it is mainly of interest in arithmetic and number-theory discussions as an example of a composite number with three distinct prime factors and a corresponding divisor structure.

See also: list of composite numbers, prime factorization of integers.