34513634056 has 64 divisors (see below), whose sum is σ = 74857685760. Its totient is φ = 14743680000.

The previous prime is 34513634047. The next prime is 34513634119. The reversal of 34513634056 is 65043631543.

It is a super-3 number, since 3×34513634056³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (40) 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 15 ways as a sum of consecutive naturals, for example, 1032241 + ... + 1065151.

It is an arithmetic number, because the mean of its divisors is an integer number (1169651340).

Almost surely, 2^34513634056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34513634056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37428842880).

34513634056 is an abundant number, since it is smaller than the sum of its proper divisors (40344051704).

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

34513634056 is a wasteful number, since it uses less digits than its factorization.

34513634056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33646 (or 33642 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 40.

The spelling of 34513634056 in words is "thirty-four billion, five hundred thirteen million, six hundred thirty-four thousand, fifty-six".