34051825220 has 144 divisors (see below), whose sum is σ = 86891253120. Its totient is φ = 10976621568.

The previous prime is 34051825123. The next prime is 34051825337. The reversal of 34051825220 is 2252815043.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4365644 + ... + 4373436.

It is an arithmetic number, because the mean of its divisors is an integer number (603411480).

Almost surely, 2^34051825220 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 34051825220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43445626560).

34051825220 is an abundant number, since it is smaller than the sum of its proper divisors (52839427900).

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

34051825220 is a wasteful number, since it uses less digits than its factorization.

34051825220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7914 (or 7889 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The spelling of 34051825220 in words is "thirty-four billion, fifty-one million, eight hundred twenty-five thousand, two hundred twenty".