34009128 has 24 divisors (see below), whose sum is σ = 92108250. Its totient is φ = 11336352.

The previous prime is 34009127. The next prime is 34009159. The reversal of 34009128 is 82190043.

It can be written as a sum of positive squares in only one way, i.e., 21178404 + 12830724 = 4602^2 + 3582^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (34009127) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 236103 + ... + 236246.

Almost surely, 2^34009128 is an apocalyptic number.

It is an amenable number.

34009128 is an abundant number, since it is smaller than the sum of its proper divisors (58099122).

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

34009128 is a wasteful number, since it uses less digits than its factorization.

34009128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472361 (or 472354 counting only the distinct ones).

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

The square root of 34009128 is about 5831.7345618606. The cubic root of 34009128 is about 323.9901688832.

The spelling of 34009128 in words is "thirty-four million, nine thousand, one hundred twenty-eight".