34150904568 has 192 divisors, whose sum is σ = 102708777600. Its totient is φ = 10164960000.

The previous prime is 34150904537. The next prime is 34150904617. The reversal of 34150904568 is 86540905143.

34150904568 is a `hidden beast` number, since 3 + 41 + 509 + 0 + 45 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10477323 + ... + 10480581.

It is an arithmetic number, because the mean of its divisors is an integer number (534941550).

Almost surely, 2^34150904568 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 34150904568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51354388800).

34150904568 is an abundant number, since it is smaller than the sum of its proper divisors (68557873032).

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

34150904568 is a wasteful number, since it uses less digits than its factorization.

34150904568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3514 (or 3507 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 34150904568 in words is "thirty-four billion, one hundred fifty million, nine hundred four thousand, five hundred sixty-eight".