34526128920 has 256 divisors, whose sum is σ = 120465792000. Its totient is φ = 7852179456.

The previous prime is 34526128913. The next prime is 34526128927. The reversal of 34526128920 is 2982162543.

It is an interprime number because it is at equal distance from previous prime (34526128913) and next prime (34526128927).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34526128927) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 872116 + ... + 910844.

It is an arithmetic number, because the mean of its divisors is an integer number (470569500).

Almost surely, 2^34526128920 is an apocalyptic number.

34526128920 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 34526128920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60232896000).

34526128920 is an abundant number, since it is smaller than the sum of its proper divisors (85939663080).

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

34526128920 is a wasteful number, since it uses less digits than its factorization.

34526128920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38802 (or 38798 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 34526128920 in words is "thirty-four billion, five hundred twenty-six million, one hundred twenty-eight thousand, nine hundred twenty".