34456128 has 112 divisors (see below), whose sum is σ = 107679744. Its totient is φ = 9515520.

The previous prime is 34456111. The next prime is 34456129. The reversal of 34456128 is 82165443.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (34456129) 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, 41251 + ... + 42077.

Almost surely, 2^34456128 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 34456128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53839872).

34456128 is an abundant number, since it is smaller than the sum of its proper divisors (73223616).

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

34456128 is a wasteful number, since it uses less digits than its factorization.

34456128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 870 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 34456128 is about 5869.9342415397. The cubic root of 34456128 is about 325.4034531888.

The spelling of 34456128 in words is "thirty-four million, four hundred fifty-six thousand, one hundred twenty-eight".