3892915625 has 24 divisors (see below), whose sum is σ = 4920856920. Its totient is φ = 3079120000.

The previous prime is 3892915589. The next prime is 3892915651. The reversal of 3892915625 is 5265192983.

3892915625 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 3822825241 + 70090384 = 61829^2 + 8372^2 .

It is a de Polignac number, because none of the positive numbers 2^k-3892915625 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 271127 + ... + 285123.

It is an arithmetic number, because the mean of its divisors is an integer number (205035705).

Almost surely, 2^3892915625 is an apocalyptic number.

It is an amenable number.

3892915625 is a deficient number, since it is larger than the sum of its proper divisors (1027941295).

3892915625 is an frugal number, since it uses more digits than its factorization.

3892915625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14111 (or 14091 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 50.

The square root of 3892915625 is about 62393.2338078417. The cubic root of 3892915625 is about 1573.1072416975.

The spelling of 3892915625 in words is "three billion, eight hundred ninety-two million, nine hundred fifteen thousand, six hundred twenty-five".