34457627646 has 48 divisors (see below), whose sum is σ = 80601852240. Its totient is φ = 10575878400.

The previous prime is 34457627609. The next prime is 34457627651. The reversal of 34457627646 is 64672675443.

34457627646 is a `hidden beast` number, since 3 + 4 + 4 + 5 + 7 + 627 + 6 + 4 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34457627592 and 34457627601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89776 + ... + 277443.

It is an arithmetic number, because the mean of its divisors is an integer number (1679205255).

Almost surely, 2^34457627646 is an apocalyptic number.

34457627646 is an abundant number, since it is smaller than the sum of its proper divisors (46144224594).

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

34457627646 is a wasteful number, since it uses less digits than its factorization.

34457627646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367641 (or 367638 counting only the distinct ones).

The product of its digits is 20321280, while the sum is 54.

The spelling of 34457627646 in words is "thirty-four billion, four hundred fifty-seven million, six hundred twenty-seven thousand, six hundred forty-six".