3968590464 has 96 divisors (see below), whose sum is σ = 11843089440. Its totient is φ = 1322853120.

The previous prime is 3968590447. The next prime is 3968590471. The reversal of 3968590464 is 4640958693.

3968590464 is a `hidden beast` number, since 3 + 9 + 6 + 8 + 590 + 46 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 3968590464.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32692 + ... + 94899.

It is an arithmetic number, because the mean of its divisors is an integer number (123365515).

Almost surely, 2^3968590464 is an apocalyptic number.

It is an amenable number.

3968590464 is an abundant number, since it is smaller than the sum of its proper divisors (7874498976).

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

3968590464 is an equidigital number, since it uses as much as digits as its factorization.

3968590464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127620 (or 127596 counting only the distinct ones).

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

The square root of 3968590464 is about 62996.7496304373. The cubic root of 3968590464 is about 1583.2351679515.

The spelling of 3968590464 in words is "three billion, nine hundred sixty-eight million, five hundred ninety thousand, four hundred sixty-four".