32340627225 has 81 divisors (see below), whose sum is σ = 61231873599. Its totient is φ = 16314631200.

The previous prime is 32340627223. The next prime is 32340627257. The reversal of 32340627225 is 52272604323.

The square root of 32340627225 is 179835.

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

32340627225 is a `hidden beast` number, since 3 + 2 + 3 + 4 + 0 + 627 + 2 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11642625801 + 20698001424 = 107901^2 + 143868^2 .

It is not a de Polignac number, because 32340627225 - 2¹ = 32340627223 is a prime.

It is a super-2 number, since 2×32340627225² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 32340627225.

It is not an unprimeable number, because it can be changed into a prime (32340627223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 51252660 + ... + 51253290.

Almost surely, 2^32340627225 is an apocalyptic number.

32340627225 is the 179835-th square number.

32340627225 is the 89918-th centered octagonal number.

It is an amenable number.

32340627225 is a deficient number, since it is larger than the sum of its proper divisors (28891246374).

32340627225 is an equidigital number, since it uses as much as digits as its factorization.

32340627225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

Multiplying 32340627225 by its sum of digits (36), we get a square (1164262580100 = 1079010²).

The spelling of 32340627225 in words is "thirty-two billion, three hundred forty million, six hundred twenty-seven thousand, two hundred twenty-five".