34188129 has 32 divisors (see below), whose sum is σ = 53568000. Its totient is φ = 21514752.

The previous prime is 34188113. The next prime is 34188169. The reversal of 34188129 is 92188143.

It is not a de Polignac number, because 34188129 - 2⁴ = 34188113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34188093 and 34188102.

It is not an unprimeable number, because it can be changed into a prime (34188169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36337 + ... + 37265.

It is an arithmetic number, because the mean of its divisors is an integer number (1674000).

Almost surely, 2^34188129 is an apocalyptic number.

It is an amenable number.

34188129 is a deficient number, since it is larger than the sum of its proper divisors (19379871).

34188129 is a wasteful number, since it uses less digits than its factorization.

34188129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 1008 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 34188129 is about 5847.0615697117. The cubic root of 34188129 is about 324.5575960817.

The spelling of 34188129 in words is "thirty-four million, one hundred eighty-eight thousand, one hundred twenty-nine".