34574792638464 has 180 divisors, whose sum is σ = 107562744851016. Its totient is φ = 10638397145088.

The previous prime is 34574792638447. The next prime is 34574792638469. The reversal of 34574792638464 is 46483629747543.

34574792638464 is a `hidden beast` number, since 3 + 4 + 5 + 7 + 47 + 92 + 6 + 38 + 464 = 666.

It is a super-2 number, since 2×34574792638464² (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 34574792638392 and 34574792638401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34574792638469) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7101354 + ... + 10935209.

Almost surely, 2^{34574792638464} is an apocalyptic number.

It is an amenable number.

34574792638464 is an abundant number, since it is smaller than the sum of its proper divisors (72987952212552).

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

34574792638464 is a wasteful number, since it uses less digits than its factorization.

34574792638464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18036610 (or 18036581 counting only the distinct ones).

The product of its digits is 2926264320, while the sum is 72.

The spelling of 34574792638464 in words is "thirty-four trillion, five hundred seventy-four billion, seven hundred ninety-two million, six hundred thirty-eight thousand, four hundred sixty-four".