3906787579272 has 24 divisors (see below), whose sum is σ = 10580883027390. Its totient is φ = 1302262526400.

The previous prime is 3906787579237. The next prime is 3906787579301. The reversal of 3906787579272 is 2729757876093.

3906787579272 is a `hidden beast` number, since 390 + 6 + 7 + 87 + 5 + 7 + 92 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3293332080516 + 613455498756 = 1814754^2 + 783234^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (72), and also a Moran number because the ratio is a prime number: 54260938601 = 3906787579272 / (3 + 9 + 0 + 6 + 7 + 8 + 7 + 5 + 7 + 9 + 2 + 7 + 2).

It is a self number, because there is not a number n which added to its sum of digits gives 3906787579272.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27130469229 + ... + 27130469372.

Almost surely, 2^{3906787579272} is an apocalyptic number.

It is an amenable number.

3906787579272 is an abundant number, since it is smaller than the sum of its proper divisors (6674095448118).

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

3906787579272 is a wasteful number, since it uses less digits than its factorization.

3906787579272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54260938613 (or 54260938606 counting only the distinct ones).

The product of its (nonzero) digits is 560105280, while the sum is 72.

The spelling of 3906787579272 in words is "three trillion, nine hundred six billion, seven hundred eighty-seven million, five hundred seventy-nine thousand, two hundred seventy-two".