34456968 has 128 divisors (see below), whose sum is σ = 117868800. Its totient is φ = 9082368.

The previous prime is 34456951. The next prime is 34456979. The reversal of 34456968 is 86965443.

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, 18780 + ... + 20532.

It is an arithmetic number, because the mean of its divisors is an integer number (920850).

Almost surely, 2^34456968 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 34456968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58934400).

34456968 is an abundant number, since it is smaller than the sum of its proper divisors (83411832).

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

34456968 is a wasteful number, since it uses less digits than its factorization.

34456968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1788 (or 1778 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 34456968 is about 5870.0057921607. The cubic root of 34456968 is about 325.4060974856.

The spelling of 34456968 in words is "thirty-four million, four hundred fifty-six thousand, nine hundred sixty-eight".