3687564 has 24 divisors (see below), whose sum is σ = 8635648. Its totient is φ = 1224720.

The previous prime is 3687557. The next prime is 3687583. The reversal of 3687564 is 4657863.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5529 + ... + 6159.

Almost surely, 2^3687564 is an apocalyptic number.

It is an amenable number.

3687564 is an abundant number, since it is smaller than the sum of its proper divisors (4948084).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3687564 is a wasteful number, since it uses less digits than its factorization.

3687564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1123 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 3687564 is about 1920.3031010755. The cubic root of 3687564 is about 154.4945589353.

Subtracting 3687564 from its reverse (4657863), we obtain a cube (970299 = 99³).

The spelling of 3687564 in words is "three million, six hundred eighty-seven thousand, five hundred sixty-four".