34090875 has 160 divisors (see below), whose sum is σ = 80336256. Its totient is φ = 13996800.

The previous prime is 34090867. The next prime is 34090877. The reversal of 34090875 is 57809043.

34090875 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34090875 - 2³ = 34090867 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34090877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 921357 + ... + 921393.

Almost surely, 2^34090875 is an apocalyptic number.

34090875 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

34090875 is an abundant number, since it is smaller than the sum of its proper divisors (46245381).

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

34090875 is a wasteful number, since it uses less digits than its factorization.

34090875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 34090875 is about 5838.7391618397. The cubic root of 34090875 is about 324.2495505408.

The spelling of 34090875 in words is "thirty-four million, ninety thousand, eight hundred seventy-five".