3962052864 has 432 divisors, whose sum is σ = 14876918784. Its totient is φ = 983347200.

The previous prime is 3962052851. The next prime is 3962052883. The reversal of 3962052864 is 4682502693.

3962052864 is a `hidden beast` number, since 3 + 9 + 62 + 0 + 528 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4079899 + ... + 4080869.

It is an arithmetic number, because the mean of its divisors is an integer number (34437312).

Almost surely, 2^3962052864 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 3962052864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7438459392).

3962052864 is an abundant number, since it is smaller than the sum of its proper divisors (10914865920).

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

3962052864 is a wasteful number, since it uses less digits than its factorization.

3962052864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 3962052864 is about 62944.8398520482. The cubic root of 3962052864 is about 1582.3653169595.

It can be divided in two parts, 396 and 2052864, that multiplied together give a square (812934144 = 28512²).

The spelling of 3962052864 in words is "three billion, nine hundred sixty-two million, fifty-two thousand, eight hundred sixty-four".