3233628225 has 81 divisors (see below), whose sum is σ = 6180235113. Its totient is φ = 1615875840.

The previous prime is 3233628199. The next prime is 3233628301. The reversal of 3233628225 is 5228263323.

The square root of 3233628225 is 56865.

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

3233628225 is a `hidden beast` number, since 3 + 2 + 3 + 3 + 628 + 2 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 75637809 + 3157990416 = 8697^2 + 56196^2 .

It is not a de Polignac number, because 3233628225 - 2⁵ = 3233628193 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3233628225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 14500464 + ... + 14500686.

Almost surely, 2^3233628225 is an apocalyptic number.

3233628225 is the 56865-th square number.

3233628225 is the 28433-rd centered octagonal number.

It is an amenable number.

3233628225 is a deficient number, since it is larger than the sum of its proper divisors (2946606888).

3233628225 is a wasteful number, since it uses less digits than its factorization.

3233628225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 248 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The cubic root of 3233628225 is about 1478.7565988672.

Multiplying 3233628225 by its sum of digits (36), we get a square (116410616100 = 341190²).

The spelling of 3233628225 in words is "three billion, two hundred thirty-three million, six hundred twenty-eight thousand, two hundred twenty-five".