34930372608 has 260 divisors, whose sum is σ = 105295632640. Its totient is φ = 11537842176.

The previous prime is 34930372579. The next prime is 34930372613. The reversal of 34930372608 is 80627303943.

34930372608 is a `hidden beast` number, since 3 + 4 + 9 + 3 + 0 + 37 + 2 + 608 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 42135138 + ... + 42135966.

Almost surely, 2^34930372608 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 34930372608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52647816320).

34930372608 is an abundant number, since it is smaller than the sum of its proper divisors (70365260032).

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

34930372608 is an equidigital number, since it uses as much as digits as its factorization.

34930372608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 34930372608 in words is "thirty-four billion, nine hundred thirty million, three hundred seventy-two thousand, six hundred eight".