3684564 has 36 divisors (see below), whose sum is σ = 10031476. Its totient is φ = 1133568.

The previous prime is 3684559. The next prime is 3684587. The reversal of 3684564 is 4654863.

It can be written as a sum of positive squares in 2 ways, for example, as 291600 + 3392964 = 540^2 + 1842^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3469 + ... + 4404.

Almost surely, 2^3684564 is an apocalyptic number.

It is an amenable number.

3684564 is an abundant number, since it is smaller than the sum of its proper divisors (6346912).

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

3684564 is a wasteful number, since it uses less digits than its factorization.

3684564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7896 (or 7891 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 3684564 is about 1919.5218154530. The cubic root of 3684564 is about 154.4526514663.

Subtracting 3684564 from its reverse (4654863), we obtain a cube (970299 = 99³).

The spelling of 3684564 in words is "three million, six hundred eighty-four thousand, five hundred sixty-four".