34044389935104 has 96 divisors (see below), whose sum is σ = 92117546408160. Its totient is φ = 11178754768896.

The previous prime is 34044389935099. The next prime is 34044389935207. The reversal of 34044389935104 is 40153998344043.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40939689 + ... + 41762984.

It is an arithmetic number, because the mean of its divisors is an integer number (959557775085).

Almost surely, 2^{34044389935104} is an apocalyptic number.

It is an amenable number.

34044389935104 is an abundant number, since it is smaller than the sum of its proper divisors (58073156473056).

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

34044389935104 is an equidigital number, since it uses as much as digits as its factorization.

34044389935104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82702765 (or 82702745 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 57.

The spelling of 34044389935104 in words is "thirty-four trillion, forty-four billion, three hundred eighty-nine million, nine hundred thirty-five thousand, one hundred four".