3657 has 8 divisors (see below), whose sum is σ = 5184. Its totient is φ = 2288.

The previous prime is 3643. The next prime is 3659. The reversal of 3657 is 7563.

3657 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3657 - 2⁶ = 3593 is a prime.

It is a d-powerful number, because it can be written as 3⁷ + 5³ + 6⁴ + 7² .

It is a plaindrome in base 15.

It is a nialpdrome in base 8.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 3657.

It is not an unprimeable number, because it can be changed into a prime (3659) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43 + ... + 95.

It is an arithmetic number, because the mean of its divisors is an integer number (648).

2³⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

3657 is a deficient number, since it is larger than the sum of its proper divisors (1527).

3657 is a wasteful number, since it uses less digits than its factorization.

3657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79.

The product of its digits is 630, while the sum is 21.

The square root of 3657 is about 60.4731345310. The cubic root of 3657 is about 15.4066536717.

The spelling of 3657 in words is "three thousand, six hundred fifty-seven".