34923405120 has 112 divisors (see below), whose sum is σ = 111191771520. Its totient is φ = 9286875136.

The previous prime is 34923405119. The next prime is 34923405161. The reversal of 34923405120 is 2150432943.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 293974 + ... + 395306.

Almost surely, 2^34923405120 is an apocalyptic number.

34923405120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34923405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55595885760).

34923405120 is an abundant number, since it is smaller than the sum of its proper divisors (76268366400).

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

34923405120 is a wasteful number, since it uses less digits than its factorization.

34923405120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101712 (or 101702 counting only the distinct ones).

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

The spelling of 34923405120 in words is "thirty-four billion, nine hundred twenty-three million, four hundred five thousand, one hundred twenty".