34130688 has 72 divisors (see below), whose sum is σ = 95659200. Its totient is φ = 10773504.

The previous prime is 34130683. The next prime is 34130717. The reversal of 34130688 is 88603143.

It is not an unprimeable number, because it can be changed into a prime (34130683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13423 + ... + 15761.

It is an arithmetic number, because the mean of its divisors is an integer number (1328600).

Almost surely, 2^34130688 is an apocalyptic number.

34130688 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34130688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47829600).

34130688 is an abundant number, since it is smaller than the sum of its proper divisors (61528512).

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

34130688 is a wasteful number, since it uses less digits than its factorization.

34130688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2377 (or 2363 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 34130688 is about 5842.1475503448. The cubic root of 34130688 is about 324.3757262913.

The spelling of 34130688 in words is "thirty-four million, one hundred thirty thousand, six hundred eighty-eight".