34931825920 has 144 divisors (see below), whose sum is σ = 87544945152. Its totient is φ = 13329367040.

The previous prime is 34931825917. The next prime is 34931825927. The reversal of 34931825920 is 2952813943.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34931825927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12687264 + ... + 12690016.

It is an arithmetic number, because the mean of its divisors is an integer number (607951008).

Almost surely, 2^34931825920 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 34931825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43772472576).

34931825920 is an abundant number, since it is smaller than the sum of its proper divisors (52613119232).

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

34931825920 is a wasteful number, since it uses less digits than its factorization.

34931825920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3228 (or 3214 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The spelling of 34931825920 in words is "thirty-four billion, nine hundred thirty-one million, eight hundred twenty-five thousand, nine hundred twenty".