34412970880 has 128 divisors (see below), whose sum is σ = 83637878400. Its totient is φ = 13537198080.

The previous prime is 34412970857. The next prime is 34412970883. The reversal of 34412970880 is 8807921443.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 34412970880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34412970883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20135466 + ... + 20137174.

It is an arithmetic number, because the mean of its divisors is an integer number (653420925).

Almost surely, 2^34412970880 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 34412970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41818939200).

34412970880 is an abundant number, since it is smaller than the sum of its proper divisors (49224907520).

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

34412970880 is a wasteful number, since it uses less digits than its factorization.

34412970880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2232 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The spelling of 34412970880 in words is "thirty-four billion, four hundred twelve million, nine hundred seventy thousand, eight hundred eighty".