34931312964 has 192 divisors, whose sum is σ = 96687360000. Its totient is φ = 10875047040.

The previous prime is 34931312953. The next prime is 34931313029. The reversal of 34931312964 is 46921313943.

It is a happy number.

34931312964 is a `hidden beast` number, since 3 + 49 + 313 + 1 + 296 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53493262 + ... + 53493914.

It is an arithmetic number, because the mean of its divisors is an integer number (503580000).

Almost surely, 2^34931312964 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 34931312964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48343680000).

34931312964 is an abundant number, since it is smaller than the sum of its proper divisors (61756047036).

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

34931312964 is a wasteful number, since it uses less digits than its factorization.

34931312964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 1007 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The spelling of 34931312964 in words is "thirty-four billion, nine hundred thirty-one million, three hundred twelve thousand, nine hundred sixty-four".