3952012960 has 192 divisors, whose sum is σ = 11064936960. Its totient is φ = 1305722880.

The previous prime is 3952012951. The next prime is 3952012991. The reversal of 3952012960 is 692102593.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4086397 + ... + 4087363.

It is an arithmetic number, because the mean of its divisors is an integer number (57629880).

Almost surely, 2^3952012960 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 3952012960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5532468480).

3952012960 is an abundant number, since it is smaller than the sum of its proper divisors (7112924000).

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

3952012960 is a wasteful number, since it uses less digits than its factorization.

3952012960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 37.

The square root of 3952012960 is about 62865.0376600539. The cubic root of 3952012960 is about 1581.0276068991.

It can be divided in two parts, 395201 and 2960, that added together give a square (398161 = 631²).

The spelling of 3952012960 in words is "three billion, nine hundred fifty-two million, twelve thousand, nine hundred sixty".