34513928064 has 512 divisors, whose sum is σ = 132544512000. Its totient is φ = 8573368320.

The previous prime is 34513928011. The next prime is 34513928077. The reversal of 34513928064 is 46082931543.

It is a super-2 number, since 2×34513928064² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6117757 + ... + 6123395.

It is an arithmetic number, because the mean of its divisors is an integer number (258876000).

Almost surely, 2^34513928064 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 34513928064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66272256000).

34513928064 is an abundant number, since it is smaller than the sum of its proper divisors (98030583936).

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

34513928064 is a wasteful number, since it uses less digits than its factorization.

34513928064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5703 (or 5685 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 34513928064 in words is "thirty-four billion, five hundred thirteen million, nine hundred twenty-eight thousand, sixty-four".