34513634320 has 80 divisors (see below), whose sum is σ = 87568502400. Its totient is φ = 12546201600.

The previous prime is 34513634317. The next prime is 34513634339. The reversal of 34513634320 is 2343631543.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×34513634320³ (a number of 33 digits) contains 333 as substring.

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, 4009381 + ... + 4017979.

It is an arithmetic number, because the mean of its divisors is an integer number (1094606280).

Almost surely, 2^34513634320 is an apocalyptic number.

It is an amenable number.

34513634320 is an abundant number, since it is smaller than the sum of its proper divisors (53054868080).

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

34513634320 is a wasteful number, since it uses less digits than its factorization.

34513634320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13184 (or 13178 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 34.

It can be divided in two parts, 345136 and 34320, that added together give a square (379456 = 616²).

The spelling of 34513634320 in words is "thirty-four billion, five hundred thirteen million, six hundred thirty-four thousand, three hundred twenty".