34676816256 has 384 divisors, whose sum is σ = 108294991200. Its totient is φ = 10919301120.

The previous prime is 34676816243. The next prime is 34676816263. The reversal of 34676816256 is 65261867643.

34676816256 is a `hidden beast` number, since 3 + 4 + 6 + 7 + 6 + 8 + 1 + 625 + 6 = 666.

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 (54).

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 47 ways as a sum of consecutive naturals, for example, 176024350 + ... + 176024546.

Almost surely, 2^34676816256 is an apocalyptic number.

34676816256 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34676816256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54147495600).

34676816256 is an abundant number, since it is smaller than the sum of its proper divisors (73618174944).

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

34676816256 is a wasteful number, since it uses less digits than its factorization.

34676816256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 286 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 34676816256 in words is "thirty-four billion, six hundred seventy-six million, eight hundred sixteen thousand, two hundred fifty-six".