34431798560 has 96 divisors (see below), whose sum is σ = 84946579200. Its totient is φ = 13163865088.

The previous prime is 34431798553. The next prime is 34431798593. The reversal of 34431798560 is 6589713443.

It is a junction number, because it is equal to n+sod(n) for n = 34431798499 and 34431798508.

It is an unprimeable number.

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, 6374741 + ... + 6380139.

It is an arithmetic number, because the mean of its divisors is an integer number (884860200).

Almost surely, 2^34431798560 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 34431798560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42473289600).

34431798560 is an abundant number, since it is smaller than the sum of its proper divisors (50514780640).

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

34431798560 is a wasteful number, since it uses less digits than its factorization.

34431798560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7170 (or 7162 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 50.

The spelling of 34431798560 in words is "thirty-four billion, four hundred thirty-one million, seven hundred ninety-eight thousand, five hundred sixty".