34564881408 has 176 divisors, whose sum is σ = 96938780064. Its totient is φ = 10935336960.

The previous prime is 34564881397. The next prime is 34564881437. The reversal of 34564881408 is 80418846543.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4656516 + ... + 4663932.

Almost surely, 2^34564881408 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 34564881408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48469390032).

34564881408 is an abundant number, since it is smaller than the sum of its proper divisors (62373898656).

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

34564881408 is a wasteful number, since it uses less digits than its factorization.

34564881408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7518 (or 7500 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 51.

The spelling of 34564881408 in words is "thirty-four billion, five hundred sixty-four million, eight hundred eighty-one thousand, four hundred eight".