34130160 has 200 divisors, whose sum is σ = 124233120. Its totient is φ = 8667648.

The previous prime is 34130153. The next prime is 34130177. The reversal of 34130160 is 6103143.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 148926 + ... + 149154.

Almost surely, 2^34130160 is an apocalyptic number.

34130160 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 34130160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62116560).

34130160 is an abundant number, since it is smaller than the sum of its proper divisors (90102960).

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

34130160 is a wasteful number, since it uses less digits than its factorization.

34130160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 34130160 is about 5842.1023613080. The cubic root of 34130160 is about 324.3740535907.

The spelling of 34130160 in words is "thirty-four million, one hundred thirty thousand, one hundred sixty".