34904794968 has 128 divisors (see below), whose sum is σ = 105353472000. Its totient is φ = 10666961280.

The previous prime is 34904794943. The next prime is 34904794979. The reversal of 34904794968 is 86949740943.

34904794968 is a `hidden beast` number, since 3 + 490 + 47 + 9 + 49 + 68 = 666.

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, 9955 + ... + 264402.

It is an arithmetic number, because the mean of its divisors is an integer number (823074000).

Almost surely, 2^34904794968 is an apocalyptic number.

34904794968 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34904794968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52676736000).

34904794968 is an abundant number, since it is smaller than the sum of its proper divisors (70448677032).

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

34904794968 is a wasteful number, since it uses less digits than its factorization.

34904794968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274422 (or 274412 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 34904794968 in words is "thirty-four billion, nine hundred four million, seven hundred ninety-four thousand, nine hundred sixty-eight".