34757179652484 has 45 divisors (see below), whose sum is σ = 90862410645237. Its totient is φ = 11585691177696.

The previous prime is 34757179652449. The next prime is 34757179652551. The reversal of 34757179652484 is 48425697175743.

It is a happy number.

The square root of 34757179652484 is 5895522.

It is a perfect power (a square), and thus also a powerful number.

34757179652484 is a `hidden beast` number, since 3 + 4 + 7 + 5 + 7 + 1 + 7 + 96 + 52 + 484 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24161373438084 + 10595806214400 = 4915422^2 + 3255120^2 .

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 105955632 + ... + 106283160.

Almost surely, 2^{34757179652484} is an apocalyptic number.

34757179652484 is the 5895522-nd square number.

It is an amenable number.

34757179652484 is an abundant number, since it is smaller than the sum of its proper divisors (56105230992753).

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

34757179652484 is an frugal number, since it uses more digits than its factorization.

34757179652484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655074 (or 327534 counting only the distinct ones).

The product of its digits is 1422489600, while the sum is 72.

The spelling of 34757179652484 in words is "thirty-four trillion, seven hundred fifty-seven billion, one hundred seventy-nine million, six hundred fifty-two thousand, four hundred eighty-four".