34092323904 has 224 divisors, whose sum is σ = 96818135040. Its totient is φ = 10563840000.

The previous prime is 34092323899. The next prime is 34092323921. The reversal of 34092323904 is 40932329043.

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, 45395529 + ... + 45396279.

Almost surely, 2^34092323904 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 34092323904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48409067520).

34092323904 is an abundant number, since it is smaller than the sum of its proper divisors (62725811136).

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

34092323904 is a wasteful number, since it uses less digits than its factorization.

34092323904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 39.

The spelling of 34092323904 in words is "thirty-four billion, ninety-two million, three hundred twenty-three thousand, nine hundred four".