34874800128 has 672 divisors, whose sum is σ = 123747886080. Its totient is φ = 9614868480.

The previous prime is 34874800117. The next prime is 34874800133. The reversal of 34874800128 is 82100847843.

34874800128 is a `hidden beast` number, since 3 + 48 + 7 + 480 + 0 + 128 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 55 ways as a sum of consecutive naturals, for example, 491194333 + ... + 491194403.

It is an arithmetic number, because the mean of its divisors is an integer number (184148640).

Almost surely, 2^34874800128 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 34874800128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61873943040).

34874800128 is an abundant number, since it is smaller than the sum of its proper divisors (88873085952).

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

34874800128 is an frugal number, since it uses more digits than its factorization.

34874800128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 34874800128 in words is "thirty-four billion, eight hundred seventy-four million, eight hundred thousand, one hundred twenty-eight".