30935044340608 has 256 divisors, whose sum is σ = 66784667443200. Its totient is φ = 14221025280000.

The previous prime is 30935044340549. The next prime is 30935044340611. The reversal of 30935044340608 is 80604344053903.

It is a congruent number.

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, 6173424823 + ... + 6173429833.

It is an arithmetic number, because the mean of its divisors is an integer number (260877607200).

Almost surely, 2^{30935044340608} 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 30935044340608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33392333721600).

30935044340608 is an abundant number, since it is smaller than the sum of its proper divisors (35849623102592).

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

30935044340608 is a wasteful number, since it uses less digits than its factorization.

30935044340608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5509 (or 5497 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 49.

The spelling of 30935044340608 in words is "thirty trillion, nine hundred thirty-five billion, forty-four million, three hundred forty thousand, six hundred eight".