3144825225 has 144 divisors (see below), whose sum is σ = 6083610624. Its totient is φ = 1550016000.

The previous prime is 3144825217. The next prime is 3144825227. The reversal of 3144825225 is 5225284413.

It is not a de Polignac number, because 3144825225 - 2³ = 3144825217 is a prime.

Its product of digits (76800) is a multiple of the sum of its prime divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 3144825225.

It is not an unprimeable number, because it can be changed into a prime (3144825227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17374635 + ... + 17374815.

It is an arithmetic number, because the mean of its divisors is an integer number (42247296).

Almost surely, 2^3144825225 is an apocalyptic number.

It is an amenable number.

3144825225 is a deficient number, since it is larger than the sum of its proper divisors (2938785399).

3144825225 is a wasteful number, since it uses less digits than its factorization.

3144825225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 320 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 3144825225 is about 56078.7412929356. The cubic root of 3144825225 is about 1465.0940505808.

The spelling of 3144825225 in words is "three billion, one hundred forty-four million, eight hundred twenty-five thousand, two hundred twenty-five".