3756564 has 48 divisors (see below), whose sum is σ = 11132800. Its totient is φ = 1073088.

The previous prime is 3756559. The next prime is 3756581. The reversal of 3756564 is 4656573.

3756564 is a `hidden beast` number, since 37 + 565 + 64 = 666.

It is a super-2 number, since 2×3756564² = 28223546172192, which contains 22 as substring.

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

It is a d-powerful number, because it can be written as 3⁶ + 7⁶ + 5⁵ + 6⁴ + 5⁹ + 6⁸ + 4⁵ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1729 + ... + 3240.

Almost surely, 2^3756564 is an apocalyptic number.

It is an amenable number.

3756564 is an abundant number, since it is smaller than the sum of its proper divisors (7376236).

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

3756564 is a wasteful number, since it uses less digits than its factorization.

3756564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4989 (or 4981 counting only the distinct ones).

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

The square root of 3756564 is about 1938.1857496123. The cubic root of 3756564 is about 155.4522207884.

Subtracting 3756564 from its reverse (4656573), we obtain a palindrome (900009).

The spelling of 3756564 in words is "three million, seven hundred fifty-six thousand, five hundred sixty-four".