3428577460008 has 48 divisors (see below), whose sum is σ = 9512211863700. Its totient is φ = 1114984538880.

The previous prime is 3428577459961. The next prime is 3428577460019. The reversal of 3428577460008 is 8000647758243.

3428577460008 is a `hidden beast` number, since 3 + 4 + 2 + 8 + 577 + 4 + 60 + 0 + 0 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3402984499524 + 25592960484 = 1844718^2 + 159978^2 .

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, 580718163 + ... + 580724066.

Almost surely, 2^{3428577460008} is an apocalyptic number.

It is an amenable number.

3428577460008 is an abundant number, since it is smaller than the sum of its proper divisors (6083634403692).

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

3428577460008 is a wasteful number, since it uses less digits than its factorization.

3428577460008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161442282 (or 1161442275 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 3428577460008 in words is "three trillion, four hundred twenty-eight billion, five hundred seventy-seven million, four hundred sixty thousand, eight".