34135088 has 40 divisors (see below), whose sum is σ = 73693200. Its totient is φ = 15208704.

The previous prime is 34135069. The next prime is 34135091. The reversal of 34135088 is 88053143.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3203 + ... + 8861.

It is an arithmetic number, because the mean of its divisors is an integer number (1842330).

Almost surely, 2^34135088 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 34135088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36846600).

34135088 is an abundant number, since it is smaller than the sum of its proper divisors (39558112).

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

34135088 is a wasteful number, since it uses less digits than its factorization.

34135088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5709 (or 5703 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 34135088 is about 5842.5241120598. The cubic root of 34135088 is about 324.3896647922.

The spelling of 34135088 in words is "thirty-four million, one hundred thirty-five thousand, eighty-eight".