34916925120 has 672 divisors, whose sum is σ = 142174130688. Its totient is φ = 7053312000.

The previous prime is 34916925091. The next prime is 34916925133. The reversal of 34916925120 is 2152961943.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 124259380 + ... + 124259660.

Almost surely, 2^34916925120 is an apocalyptic number.

34916925120 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 34916925120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71087065344).

34916925120 is an abundant number, since it is smaller than the sum of its proper divisors (107257205568).

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

34916925120 is a wasteful number, since it uses less digits than its factorization.

34916925120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The spelling of 34916925120 in words is "thirty-four billion, nine hundred sixteen million, nine hundred twenty-five thousand, one hundred twenty".