3657564 has 18 divisors (see below), whose sum is σ = 9245600. Its totient is φ = 1219176.

The previous prime is 3657547. The next prime is 3657571. The reversal of 3657564 is 4657563.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 101599 = 3657564 / (3 + 6 + 5 + 7 + 5 + 6 + 4).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50764 + ... + 50835.

Almost surely, 2^3657564 is an apocalyptic number.

It is an amenable number.

3657564 is an abundant number, since it is smaller than the sum of its proper divisors (5588036).

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

3657564 is a wasteful number, since it uses less digits than its factorization.

3657564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101609 (or 101604 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 3657564 is about 1912.4758822009. The cubic root of 3657564 is about 154.0744566026.

Subtracting 3657564 from its reverse (4657563), we obtain a palindrome (999999).

It can be divided in two parts, 36 and 57564, that added together give a square (57600 = 240²).

The spelling of 3657564 in words is "three million, six hundred fifty-seven thousand, five hundred sixty-four".