3238633125 has 400 divisors, whose sum is σ = 8043925120. Its totient is φ = 1259712000.

The previous prime is 3238633117. The next prime is 3238633231. The reversal of 3238633125 is 5213368323.

3238633125 is a `hidden beast` number, since 3 + 2 + 3 + 8 + 633 + 12 + 5 = 666.

It is not a de Polignac number, because 3238633125 - 2³ = 3238633117 is a prime.

Its product of digits (77760) is a multiple of the sum of its prime factors (108).

It is a self number, because there is not a number n which added to its sum of digits gives 3238633125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 87530607 + ... + 87530643.

Almost surely, 2^3238633125 is an apocalyptic number.

3238633125 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3238633125 is an abundant number, since it is smaller than the sum of its proper divisors (4805291995).

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

3238633125 is a wasteful number, since it uses less digits than its factorization.

3238633125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 84 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 3238633125 is about 56908.9898434333. The cubic root of 3238633125 is about 1479.5191286855.

The spelling of 3238633125 in words is "three billion, two hundred thirty-eight million, six hundred thirty-three thousand, one hundred twenty-five".