34809965568 has 352 divisors, whose sum is σ = 118803294720. Its totient is φ = 9862594560.

The previous prime is 34809965563. The next prime is 34809965657. The reversal of 34809965568 is 86556990843.

34809965568 is a `hidden beast` number, since 3 + 4 + 8 + 0 + 9 + 9 + 65 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (34809965563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25352530 + ... + 25353902.

It is an arithmetic number, because the mean of its divisors is an integer number (337509360).

Almost surely, 2^34809965568 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 34809965568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59401647360).

34809965568 is an abundant number, since it is smaller than the sum of its proper divisors (83993329152).

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

34809965568 is a wasteful number, since it uses less digits than its factorization.

34809965568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 34809965568 in words is "thirty-four billion, eight hundred nine million, nine hundred sixty-five thousand, five hundred sixty-eight".