34826609664 has 1320 divisors, whose sum is σ = 142311042720. Its totient is φ = 8360755200.

The previous prime is 34826609663. The next prime is 34826609687. The reversal of 34826609664 is 46690662843.

34826609664 is a `hidden beast` number, since 3 + 4 + 8 + 26 + 609 + 6 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 34826609664.

It is not an unprimeable number, because it can be changed into a prime (34826609663) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 849429484 + ... + 849429524.

It is an arithmetic number, because the mean of its divisors is an integer number (107811396).

Almost surely, 2^34826609664 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 34826609664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71155521360).

34826609664 is an abundant number, since it is smaller than the sum of its proper divisors (107484433056).

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

34826609664 is a wasteful number, since it uses less digits than its factorization.

34826609664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 34826609664 in words is "thirty-four billion, eight hundred twenty-six million, six hundred nine thousand, six hundred sixty-four".