34779248256 has 64 divisors (see below), whose sum is σ = 93948242400. Its totient is φ = 11396582400.

The previous prime is 34779248249. The next prime is 34779248291. The reversal of 34779248256 is 65284297743.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×34779248256² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34779248196 and 34779248205.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 744895 + ... + 790206.

Almost surely, 2^34779248256 is an apocalyptic number.

It is an amenable number.

34779248256 is an abundant number, since it is smaller than the sum of its proper divisors (59168994144).

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

34779248256 is a wasteful number, since it uses less digits than its factorization.

34779248256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535177 (or 1535165 counting only the distinct ones).

The product of its digits is 20321280, while the sum is 57.

The spelling of 34779248256 in words is "thirty-four billion, seven hundred seventy-nine million, two hundred forty-eight thousand, two hundred fifty-six".