34601795568 has 160 divisors (see below), whose sum is σ = 102228724800. Its totient is φ = 11197522944.

The previous prime is 34601795537. The next prime is 34601795593. The reversal of 34601795568 is 86559710643.

34601795568 is a `hidden beast` number, since 3 + 4 + 6 + 0 + 1 + 79 + 5 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 8133730 + ... + 8137982.

It is an arithmetic number, because the mean of its divisors is an integer number (638929530).

Almost surely, 2^34601795568 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 34601795568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51114362400).

34601795568 is an abundant number, since it is smaller than the sum of its proper divisors (67626929232).

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

34601795568 is a wasteful number, since it uses less digits than its factorization.

34601795568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4816 (or 4804 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 34601795568 in words is "thirty-four billion, six hundred one million, seven hundred ninety-five thousand, five hundred sixty-eight".