34072128 has 84 divisors (see below), whose sum is σ = 98564700. Its totient is φ = 11252736.

The previous prime is 34072127. The next prime is 34072139. The reversal of 34072128 is 82127043.

It can be written as a sum of positive squares in 2 ways, for example, as 12616704 + 21455424 = 3552^2 + 4632^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34072127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85626 + ... + 86022.

Almost surely, 2^34072128 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 34072128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49282350).

34072128 is an abundant number, since it is smaller than the sum of its proper divisors (64492572).

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

34072128 is a wasteful number, since it uses less digits than its factorization.

34072128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 34072128 is about 5837.1335431014. The cubic root of 34072128 is about 324.1901033435.

The spelling of 34072128 in words is "thirty-four million, seventy-two thousand, one hundred twenty-eight".