3128724225 has 135 divisors (see below), whose sum is σ = 6427109689. Its totient is φ = 1503532800.

The previous prime is 3128724199. The next prime is 3128724241. The reversal of 3128724225 is 5224278213.

The square root of 3128724225 is 55935.

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

3128724225 is a `hidden beast` number, since 312 + 87 + 242 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1591770609 + 1536953616 = 39897^2 + 39204^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 3128724225 - 2⁹ = 3128723713 is a prime.

It is a super-2 number, since 2×3128724225² = 19577830552203701250, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3128724225.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 27687769 + ... + 27687881.

Almost surely, 2^3128724225 is an apocalyptic number.

3128724225 is the 55935-th square number.

3128724225 is the 27968-th centered octagonal number.

It is an amenable number.

3128724225 is an abundant number, since it is smaller than the sum of its proper divisors (3298385464).

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

3128724225 is a wasteful number, since it uses less digits than its factorization.

3128724225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 132 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The cubic root of 3128724225 is about 1462.5894225402.

Multiplying 3128724225 by its sum of digits (36), we get a square (112634072100 = 335610²).

The spelling of 3128724225 in words is "three billion, one hundred twenty-eight million, seven hundred twenty-four thousand, two hundred twenty-five".