34927782912 has 264 divisors, whose sum is σ = 111031736400. Its totient is φ = 10487070720.

The previous prime is 34927782887. The next prime is 34927782959. The reversal of 34927782912 is 21928772943.

It is a happy number.

34927782912 is a `hidden beast` number, since 3 + 492 + 77 + 82 + 9 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

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 23 ways as a sum of consecutive naturals, for example, 11453964 + ... + 11457012.

Almost surely, 2^34927782912 is an apocalyptic number.

34927782912 is a gapful number since it is divisible by the number (32) 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 34927782912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55515868200).

34927782912 is an abundant number, since it is smaller than the sum of its proper divisors (76103953488).

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

34927782912 is a wasteful number, since it uses less digits than its factorization.

34927782912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3199 (or 3178 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The spelling of 34927782912 in words is "thirty-four billion, nine hundred twenty-seven million, seven hundred eighty-two thousand, nine hundred twelve".