34117980 has 192 divisors, whose sum is σ = 113799168. Its totient is φ = 7557120.

The previous prime is 34117973. The next prime is 34117991. The reversal of 34117980 is 8971143.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 411019 + ... + 411101.

It is an arithmetic number, because the mean of its divisors is an integer number (592704).

Almost surely, 2^34117980 is an apocalyptic number.

34117980 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 34117980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56899584).

34117980 is an abundant number, since it is smaller than the sum of its proper divisors (79681188).

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

34117980 is a wasteful number, since it uses less digits than its factorization.

34117980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 34117980 is about 5841.0598353381. The cubic root of 34117980 is about 324.3354626392.

The spelling of 34117980 in words is "thirty-four million, one hundred seventeen thousand, nine hundred eighty".