3924125568 has 256 divisors, whose sum is σ = 12763872000. Its totient is φ = 1176975360.

The previous prime is 3924125561. The next prime is 3924125581. The reversal of 3924125568 is 8655214293.

3924125568 is a `hidden beast` number, since 3 + 92 + 4 + 1 + 2 + 556 + 8 = 666.

3924125568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3924125568² = 30797522946862645248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3924125561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4143271 + ... + 4144217.

It is an arithmetic number, because the mean of its divisors is an integer number (49858875).

Almost surely, 2^3924125568 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 3924125568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6381936000).

3924125568 is an abundant number, since it is smaller than the sum of its proper divisors (8839746432).

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

3924125568 is a wasteful number, since it uses less digits than its factorization.

3924125568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1072 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 3924125568 is about 62642.8413148701. The cubic root of 3924125568 is about 1577.2999829953.

The spelling of 3924125568 in words is "three billion, nine hundred twenty-four million, one hundred twenty-five thousand, five hundred sixty-eight".