3936564 has 36 divisors (see below), whose sum is σ = 10186176. Its totient is φ = 1281168.

The previous prime is 3936523. The next prime is 3936577. The reversal of 3936564 is 4656393.

3936564 is a `hidden beast` number, since 3 + 93 + 6 + 564 = 666.

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

It is a super-2 number, since 2×3936564² = 30993072252192, 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 3³ + 9² + 3⁹ + 6⁷ + 5⁹ + 6⁸ + 4⁶ .

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, 277 + ... + 2819.

Almost surely, 2^3936564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3936564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5093088).

3936564 is an abundant number, since it is smaller than the sum of its proper divisors (6249612).

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

3936564 is a wasteful number, since it uses less digits than its factorization.

3936564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2596 (or 2591 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 3936564 is about 1984.0776194494. The cubic root of 3936564 is about 157.8964765422.

The spelling of 3936564 in words is "three million, nine hundred thirty-six thousand, five hundred sixty-four".