3792564 has 36 divisors (see below), whose sum is σ = 10152324. Its totient is φ = 1189632.

The previous prime is 3792527. The next prime is 3792577. The reversal of 3792564 is 4652973.

3792564 is a `hidden beast` number, since 3 + 7 + 92 + 564 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2250000 + 1542564 = 1500^2 + 1242^2 .

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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 11 ways as a sum of consecutive naturals, for example, 2487 + ... + 3710.

It is an arithmetic number, because the mean of its divisors is an integer number (282009).

Almost surely, 2^3792564 is an apocalyptic number.

3792564 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3792564 is an abundant number, since it is smaller than the sum of its proper divisors (6359760).

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

3792564 is a wasteful number, since it uses less digits than its factorization.

3792564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6224 (or 6219 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 3792564 is about 1947.4506412230. The cubic root of 3792564 is about 155.9472208041.

It can be divided in two parts, 3792 and 564, that added together give a square (4356 = 66²).

The spelling of 3792564 in words is "three million, seven hundred ninety-two thousand, five hundred sixty-four".