34130580 has 48 divisors (see below), whose sum is σ = 104255424. Its totient is φ = 8273920.

The previous prime is 34130567. The next prime is 34130581. The reversal of 34130580 is 8503143.

It is a super-3 number, since 3×34130580³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 34130580.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34130581) 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, 25197 + ... + 26516.

It is an arithmetic number, because the mean of its divisors is an integer number (2171988).

Almost surely, 2^34130580 is an apocalyptic number.

34130580 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34130580 is an abundant number, since it is smaller than the sum of its proper divisors (70124844).

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

34130580 is a wasteful number, since it uses less digits than its factorization.

34130580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51736 (or 51734 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 34130580 is about 5842.1383071612. The cubic root of 34130580 is about 324.3753841494.

The spelling of 34130580 in words is "thirty-four million, one hundred thirty thousand, five hundred eighty".