34117539456 has 384 divisors, whose sum is σ = 122614934400. Its totient is φ = 8179015680.

The previous prime is 34117539403. The next prime is 34117539517. The reversal of 34117539456 is 65493571143.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4224190 + ... + 4232258.

It is an arithmetic number, because the mean of its divisors is an integer number (319309725).

Almost surely, 2^34117539456 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 34117539456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61307467200).

34117539456 is an abundant number, since it is smaller than the sum of its proper divisors (88497394944).

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

34117539456 is a wasteful number, since it uses less digits than its factorization.

34117539456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8128 (or 8105 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 48.

The spelling of 34117539456 in words is "thirty-four billion, one hundred seventeen million, five hundred thirty-nine thousand, four hundred fifty-six".