34129608 has 64 divisors (see below), whose sum is σ = 94296960. Its totient is φ = 10238976.

The previous prime is 34129531. The next prime is 34129609. The reversal of 34129608 is 80692143.

It is not an unprimeable number, because it can be changed into a prime (34129609) 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, 7566 + ... + 11202.

It is an arithmetic number, because the mean of its divisors is an integer number (1473390).

Almost surely, 2^34129608 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 34129608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47148480).

34129608 is an abundant number, since it is smaller than the sum of its proper divisors (60167352).

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

34129608 is a wasteful number, since it uses less digits than its factorization.

34129608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3686 (or 3682 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 34129608 is about 5842.0551178502. The cubic root of 34129608 is about 324.3723048399.

The spelling of 34129608 in words is "thirty-four million, one hundred twenty-nine thousand, six hundred eight".