34891825920 has 576 divisors, whose sum is σ = 132451200000. Its totient is φ = 7822639104.

The previous prime is 34891825909. The next prime is 34891825921. The reversal of 34891825920 is 2952819843.

It is not an unprimeable number, because it can be changed into a prime (34891825921) 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, 77709856 + ... + 77710304.

It is an arithmetic number, because the mean of its divisors is an integer number (229950000).

Almost surely, 2^34891825920 is an apocalyptic number.

34891825920 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 34891825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66225600000).

34891825920 is an abundant number, since it is smaller than the sum of its proper divisors (97559374080).

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

34891825920 is an equidigital number, since it uses as much as digits as its factorization.

34891825920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 34891825920 in words is "thirty-four billion, eight hundred ninety-one million, eight hundred twenty-five thousand, nine hundred twenty".