34231940520 has 768 divisors, whose sum is σ = 125142589440. Its totient is φ = 7442620416.

The previous prime is 34231940507. The next prime is 34231940521. The reversal of 34231940520 is 2504913243.

It is not an unprimeable number, because it can be changed into a prime (34231940521) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 728339137 + ... + 728339183.

It is an arithmetic number, because the mean of its divisors is an integer number (162946080).

Almost surely, 2^34231940520 is an apocalyptic number.

34231940520 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 34231940520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62571294720).

34231940520 is an abundant number, since it is smaller than the sum of its proper divisors (90910648920).

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

34231940520 is a wasteful number, since it uses less digits than its factorization.

34231940520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 159 counting only the distinct ones).

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

The spelling of 34231940520 in words is "thirty-four billion, two hundred thirty-one million, nine hundred forty thousand, five hundred twenty".