34328125 has 28 divisors (see below), whose sum is σ = 46483780. Its totient is φ = 25350000.

The previous prime is 34328093. The next prime is 34328131. The reversal of 34328125 is 52182343.

The cubic root of 34328125 is 325.

It is a perfect power (a cube), and thus also a powerful number.

It can be written as a sum of positive squares in 14 ways, for example, as 942841 + 33385284 = 971^2 + 5778^2 .

It is not a de Polignac number, because 34328125 - 2⁵ = 34328093 is a prime.

Its product of digits (5760) is a multiple of the sum of its prime divisors (18).

It is a junction number, because it is equal to n+sod(n) for n = 34328093 and 34328102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2640619 + ... + 2640631.

It is an arithmetic number, because the mean of its divisors is an integer number (1660135).

Almost surely, 2^34328125 is an apocalyptic number.

It is an amenable number.

34328125 is a deficient number, since it is larger than the sum of its proper divisors (12155655).

34328125 is an frugal number, since it uses more digits than its factorization.

34328125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 18 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

The square root of 34328125 is about 5859.0208226290.

It can be divided in two parts, 34328 and 125, that added together give a triangular number (34453 = T₂₆₂).

The spelling of 34328125 in words is "thirty-four million, three hundred twenty-eight thousand, one hundred twenty-five".