34506002904 has 128 divisors (see below), whose sum is σ = 91547366400. Its totient is φ = 10808017920.

The previous prime is 34506002887. The next prime is 34506002917. The reversal of 34506002904 is 40920060543.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36207292 + ... + 36208244.

It is an arithmetic number, because the mean of its divisors is an integer number (715213800).

Almost surely, 2^34506002904 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 34506002904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45773683200).

34506002904 is an abundant number, since it is smaller than the sum of its proper divisors (57041363496).

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

34506002904 is a wasteful number, since it uses less digits than its factorization.

34506002904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1545 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 34506002904 in words is "thirty-four billion, five hundred six million, two thousand, nine hundred four".