34080129 has 32 divisors (see below), whose sum is σ = 54886400. Its totient is φ = 20820240.

The previous prime is 34080119. The next prime is 34080139. The reversal of 34080129 is 92108043.

It is an interprime number because it is at equal distance from previous prime (34080119) and next prime (34080139).

It is not a de Polignac number, because 34080129 - 2⁵ = 34080097 is a prime.

It is a super-2 number, since 2×34080129² = 2322910385313282, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34080119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14832 + ... + 16974.

It is an arithmetic number, because the mean of its divisors is an integer number (1715200).

Almost surely, 2^34080129 is an apocalyptic number.

It is an amenable number.

34080129 is a deficient number, since it is larger than the sum of its proper divisors (20806271).

34080129 is a wasteful number, since it uses less digits than its factorization.

34080129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2202 (or 2196 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 34080129 is about 5837.8188563881. The cubic root of 34080129 is about 324.2154773775.

The spelling of 34080129 in words is "thirty-four million, eighty thousand, one hundred twenty-nine".