34500128 has 48 divisors (see below), whose sum is σ = 73664640. Its totient is φ = 15810816.

The previous prime is 34500127. The next prime is 34500133. The reversal of 34500128 is 82100543.

It is not an unprimeable number, because it can be changed into a prime (34500121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99251 + ... + 99597.

It is an arithmetic number, because the mean of its divisors is an integer number (1534680).

Almost surely, 2^34500128 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 34500128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36832320).

34500128 is an abundant number, since it is smaller than the sum of its proper divisors (39164512).

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

34500128 is a wasteful number, since it uses less digits than its factorization.

34500128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 34500128 is about 5873.6809583089. The cubic root of 34500128 is about 325.5419061779.

The spelling of 34500128 in words is "thirty-four million, five hundred thousand, one hundred twenty-eight".