34075008 has 96 divisors (see below), whose sum is σ = 107008200. Its totient is φ = 10321920.

The previous prime is 34075003. The next prime is 34075009. The reversal of 34075008 is 80057043.

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

It is a super-2 number, since 2×34075008² = 2322212340400128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34075001) 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, 11328 + ... + 14016.

Almost surely, 2^34075008 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 34075008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53504100).

34075008 is an abundant number, since it is smaller than the sum of its proper divisors (72933192).

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

34075008 is a wasteful number, since it uses less digits than its factorization.

34075008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2720 (or 2705 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 34075008 is about 5837.3802343174. The cubic root of 34075008 is about 324.1992373116.

The spelling of 34075008 in words is "thirty-four million, seventy-five thousand, eight".