34189680 has 160 divisors (see below), whose sum is σ = 123992064. Its totient is φ = 7630848.

The previous prime is 34189679. The next prime is 34189693. The reversal of 34189680 is 8698143.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78744 + ... + 79176.

Almost surely, 2^34189680 is an apocalyptic number.

34189680 is a gapful number since it is divisible by the number (30) 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 34189680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61996032).

34189680 is an abundant number, since it is smaller than the sum of its proper divisors (89802384).

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

34189680 is a wasteful number, since it uses less digits than its factorization.

34189680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 34189680 is about 5847.1941989299. The cubic root of 34189680 is about 324.5625040350.

The spelling of 34189680 in words is "thirty-four million, one hundred eighty-nine thousand, six hundred eighty".