34409164608 has 448 divisors, whose sum is σ = 125553541120. Its totient is φ = 8998262784.

The previous prime is 34409164589. The next prime is 34409164661. The reversal of 34409164608 is 80646190443.

34409164608 is a `hidden beast` number, since 3 + 440 + 91 + 64 + 60 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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, 19969635 + ... + 19971357.

It is an arithmetic number, because the mean of its divisors is an integer number (280253440).

Almost surely, 2^34409164608 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 34409164608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62776770560).

34409164608 is an abundant number, since it is smaller than the sum of its proper divisors (91144376512).

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

34409164608 is a wasteful number, since it uses less digits than its factorization.

34409164608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1891 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 34409164608 in words is "thirty-four billion, four hundred nine million, one hundred sixty-four thousand, six hundred eight".