34436552120 has 64 divisors (see below), whose sum is σ = 80018323200. Its totient is φ = 13324170240.

The previous prime is 34436552099. The next prime is 34436552159. The reversal of 34436552120 is 2125563443.

It is a super-2 number, since 2×34436552120² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3463316 + ... + 3473244.

It is an arithmetic number, because the mean of its divisors is an integer number (1250286300).

Almost surely, 2^34436552120 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 34436552120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40009161600).

34436552120 is an abundant number, since it is smaller than the sum of its proper divisors (45581771080).

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

34436552120 is a wasteful number, since it uses less digits than its factorization.

34436552120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12768 (or 12764 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

The spelling of 34436552120 in words is "thirty-four billion, four hundred thirty-six million, five hundred fifty-two thousand, one hundred twenty".