34296915968 has 192 divisors, whose sum is σ = 81496396800. Its totient is φ = 14120386560.

The previous prime is 34296915953. The next prime is 34296915977. The reversal of 34296915968 is 86951969243.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a self number, because there is not a number n which added to its sum of digits gives 34296915968.

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, 101771096 + ... + 101771432.

It is an arithmetic number, because the mean of its divisors is an integer number (424460400).

Almost surely, 2^34296915968 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 34296915968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40748198400).

34296915968 is an abundant number, since it is smaller than the sum of its proper divisors (47199480832).

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

34296915968 is a wasteful number, since it uses less digits than its factorization.

34296915968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 606 counting only the distinct ones).

The product of its digits is 25194240, while the sum is 62.

The spelling of 34296915968 in words is "thirty-four billion, two hundred ninety-six million, nine hundred fifteen thousand, nine hundred sixty-eight".