34939393120 has 48 divisors (see below), whose sum is σ = 84557608128. Its totient is φ = 13634882560.

The previous prime is 34939393117. The next prime is 34939393133. The reversal of 34939393120 is 2139393943.

It is a super-2 number, since 2×34939393120² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2656504 + ... + 2669623.

It is an arithmetic number, because the mean of its divisors is an integer number (1761616836).

Almost surely, 2^34939393120 is an apocalyptic number.

It is an amenable number.

34939393120 is an abundant number, since it is smaller than the sum of its proper divisors (49618215008).

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

34939393120 is a wasteful number, since it uses less digits than its factorization.

34939393120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5326183 (or 5326175 counting only the distinct ones).

The product of its (nonzero) digits is 472392, while the sum is 46.

The spelling of 34939393120 in words is "thirty-four billion, nine hundred thirty-nine million, three hundred ninety-three thousand, one hundred twenty".