34224052128 has 96 divisors (see below), whose sum is σ = 102745843200. Its totient is φ = 9771283200.

The previous prime is 34224052123. The next prime is 34224052147. The reversal of 34224052128 is 82125042243.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×34224052128² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34224052123) 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, 957523 + ... + 992621.

It is an arithmetic number, because the mean of its divisors is an integer number (1070269200).

Almost surely, 2^34224052128 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 34224052128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51372921600).

34224052128 is an abundant number, since it is smaller than the sum of its proper divisors (68521791072).

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

34224052128 is a wasteful number, since it uses less digits than its factorization.

34224052128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36570 (or 36562 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The spelling of 34224052128 in words is "thirty-four billion, two hundred twenty-four million, fifty-two thousand, one hundred twenty-eight".