3925156320 has 480 divisors, whose sum is σ = 14522729760. Its totient is φ = 997539840.

The previous prime is 3925156303. The next prime is 3925156331. The reversal of 3925156320 is 236515293.

3925156320 is a `hidden beast` number, since 3 + 9 + 2 + 5 + 15 + 632 + 0 = 666.

3925156320 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 44102836 + ... + 44102924.

It is an arithmetic number, because the mean of its divisors is an integer number (30255687).

Almost surely, 2^3925156320 is an apocalyptic number.

3925156320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3925156320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7261364880).

3925156320 is an abundant number, since it is smaller than the sum of its proper divisors (10597573440).

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

3925156320 is a wasteful number, since it uses less digits than its factorization.

3925156320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 3925156320 is about 62651.0679877047. The cubic root of 3925156320 is about 1577.4380742935.

The spelling of 3925156320 in words is "three billion, nine hundred twenty-five million, one hundred fifty-six thousand, three hundred twenty".