34568411904 has 432 divisors, whose sum is σ = 112170713760. Its totient is φ = 10495180800.

The previous prime is 34568411903. The next prime is 34568411909. The reversal of 34568411904 is 40911486543.

34568411904 is a `hidden beast` number, since 3 + 456 + 8 + 4 + 1 + 190 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a self number, because there is not a number n which added to its sum of digits gives 34568411904.

It is not an unprimeable number, because it can be changed into a prime (34568411903) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117980782 + ... + 117981074.

It is an arithmetic number, because the mean of its divisors is an integer number (259654430).

Almost surely, 2^34568411904 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 34568411904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56085356880).

34568411904 is an abundant number, since it is smaller than the sum of its proper divisors (77602301856).

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

34568411904 is a wasteful number, since it uses less digits than its factorization.

34568411904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 34568411904 in words is "thirty-four billion, five hundred sixty-eight million, four hundred eleven thousand, nine hundred four".