34913419104 has 48 divisors (see below), whose sum is σ = 91668069360. Its totient is φ = 11635223040.

The previous prime is 34913419091. The next prime is 34913419133. The reversal of 34913419104 is 40191431943.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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, 421774 + ... + 497714.

It is an arithmetic number, because the mean of its divisors is an integer number (1909751445).

Almost surely, 2^34913419104 is an apocalyptic number.

It is an amenable number.

34913419104 is an abundant number, since it is smaller than the sum of its proper divisors (56754650256).

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

34913419104 is a wasteful number, since it uses less digits than its factorization.

34913419104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80743 (or 80735 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 34913419104 in words is "thirty-four billion, nine hundred thirteen million, four hundred nineteen thousand, one hundred four".