34516513644 has 96 divisors (see below), whose sum is σ = 84742963200. Its totient is φ = 10921236480.

The previous prime is 34516513631. The next prime is 34516513663. The reversal of 34516513644 is 44631561543.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 34516513596 and 34516513605.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4200612 + ... + 4208820.

It is an arithmetic number, because the mean of its divisors is an integer number (882739200).

Almost surely, 2^34516513644 is an apocalyptic number.

It is an amenable number.

34516513644 is an abundant number, since it is smaller than the sum of its proper divisors (50226449556).

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

34516513644 is a wasteful number, since it uses less digits than its factorization.

34516513644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8463 (or 8461 counting only the distinct ones).

The product of its digits is 518400, while the sum is 42.

The spelling of 34516513644 in words is "thirty-four billion, five hundred sixteen million, five hundred thirteen thousand, six hundred forty-four".