3994056864 has 384 divisors, whose sum is σ = 13965557760. Its totient is φ = 1100148480.

The previous prime is 3994056841. The next prime is 3994056877. The reversal of 3994056864 is 4686504993.

3994056864 is a `hidden beast` number, since 39 + 9 + 40 + 568 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3994056864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15186397 + ... + 15186659.

It is an arithmetic number, because the mean of its divisors is an integer number (36368640).

Almost surely, 2^3994056864 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 3994056864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6982778880).

3994056864 is an abundant number, since it is smaller than the sum of its proper divisors (9971500896).

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

3994056864 is an equidigital number, since it uses as much as digits as its factorization.

3994056864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The square root of 3994056864 is about 63198.5511226326. The cubic root of 3994056864 is about 1586.6144839212.

The spelling of 3994056864 in words is "three billion, nine hundred ninety-four million, fifty-six thousand, eight hundred sixty-four".