34414432120 has 192 divisors, whose sum is σ = 85001374080. Its totient is φ = 12530417664.

The previous prime is 34414432109. The next prime is 34414432139. The reversal of 34414432120 is 2123441443.

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, 52701714 + ... + 52702366.

It is an arithmetic number, because the mean of its divisors is an integer number (442715490).

Almost surely, 2^34414432120 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 34414432120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42500687040).

34414432120 is an abundant number, since it is smaller than the sum of its proper divisors (50586941960).

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

34414432120 is a wasteful number, since it uses less digits than its factorization.

34414432120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 34414432120 its reverse (2123441443), we get a palindrome (36537873563).

The spelling of 34414432120 in words is "thirty-four billion, four hundred fourteen million, four hundred thirty-two thousand, one hundred twenty".