34973044128 has 288 divisors, whose sum is σ = 114506421120. Its totient is φ = 10021355520.

The previous prime is 34973044069. The next prime is 34973044213. The reversal of 34973044128 is 82144037943.

34973044128 is a `hidden beast` number, since 3 + 497 + 30 + 4 + 4 + 128 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×34973044128² (a number of 22 digits) contains 22 as substring.

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, 6482200 + ... + 6487592.

It is an arithmetic number, because the mean of its divisors is an integer number (397591740).

Almost surely, 2^34973044128 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 34973044128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57253210560).

34973044128 is an abundant number, since it is smaller than the sum of its proper divisors (79533376992).

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

34973044128 is a wasteful number, since it uses less digits than its factorization.

34973044128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5532 (or 5521 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 34973044128 in words is "thirty-four billion, nine hundred seventy-three million, forty-four thousand, one hundred twenty-eight".