3947579692704 has 72 divisors (see below), whose sum is σ = 11328920022420. Its totient is φ = 1303787778048.

The previous prime is 3947579692699. The next prime is 3947579692723. The reversal of 3947579692704 is 4072969757493.

It is a happy number.

3947579692704 is a `hidden beast` number, since 3 + 9 + 47 + 579 + 6 + 9 + 2 + 7 + 0 + 4 = 666.

3947579692704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3261419283600 + 686160409104 = 1805940^2 + 828348^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 62844177 + ... + 62906960.

Almost surely, 2^{3947579692704} is an apocalyptic number.

It is an amenable number.

3947579692704 is an abundant number, since it is smaller than the sum of its proper divisors (7381340329716).

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

3947579692704 is a wasteful number, since it uses less digits than its factorization.

3947579692704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125751262 (or 125751251 counting only the distinct ones).

The product of its (nonzero) digits is 720135360, while the sum is 72.

The spelling of 3947579692704 in words is "three trillion, nine hundred forty-seven billion, five hundred seventy-nine million, six hundred ninety-two thousand, seven hundred four".