34224883056 has 240 divisors, whose sum is σ = 118552412160. Its totient is φ = 8975301120.

The previous prime is 34224883037. The next prime is 34224883061. The reversal of 34224883056 is 65038842243.

It is a congruent number.

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, 2338321 + ... + 2352911.

It is an arithmetic number, because the mean of its divisors is an integer number (493968384).

Almost surely, 2^34224883056 is an apocalyptic number.

34224883056 is a gapful number since it is divisible by the number (36) 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 34224883056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59276206080).

34224883056 is an abundant number, since it is smaller than the sum of its proper divisors (84327529104).

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

34224883056 is a wasteful number, since it uses less digits than its factorization.

34224883056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14804 (or 14795 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 34224883056 in words is "thirty-four billion, two hundred twenty-four million, eight hundred eighty-three thousand, fifty-six".