34180128 has 36 divisors (see below), whose sum is σ = 97200558. Its totient is φ = 11393280.

The previous prime is 34180121. The next prime is 34180163. The reversal of 34180128 is 82108143.

It can be written as a sum of positive squares in only one way, i.e., 33039504 + 1140624 = 5748^2 + 1068^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (34180121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 59053 + ... + 59628.

Almost surely, 2^34180128 is an apocalyptic number.

It is an amenable number.

34180128 is an abundant number, since it is smaller than the sum of its proper divisors (63020430).

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

34180128 is a wasteful number, since it uses less digits than its factorization.

34180128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118697 (or 118686 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 34180128 is about 5846.3773398576. The cubic root of 34180128 is about 324.5322755196.

The spelling of 34180128 in words is "thirty-four million, one hundred eighty thousand, one hundred twenty-eight".