3285009225 has 27 divisors (see below), whose sum is σ = 5885356789. Its totient is φ = 1751546400.

The previous prime is 3285009223. The next prime is 3285009281. The reversal of 3285009225 is 5229005823.

The square root of 3285009225 is 57315.

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

It can be written as a sum of positive squares in 4 ways, for example, as 322166601 + 2962842624 = 17949^2 + 54432^2 .

It is not a de Polignac number, because 3285009225 - 2¹ = 3285009223 is a prime.

It is a super-3 number, since 3×3285009225³ (a number of 30 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3285009225.

It is not an unprimeable number, because it can be changed into a prime (3285009223) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 857815 + ... + 861635.

Almost surely, 2^3285009225 is an apocalyptic number.

3285009225 is the 57315-th square number.

3285009225 is the 28658-th centered octagonal number.

It is an amenable number.

3285009225 is a deficient number, since it is larger than the sum of its proper divisors (2600347564).

3285009225 is an frugal number, since it uses more digits than its factorization.

3285009225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7658 (or 3829 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The cubic root of 3285009225 is about 1486.5477519948.

Multiplying 3285009225 by its sum of digits (36), we get a square (118260332100 = 343890²).

The spelling of 3285009225 in words is "three billion, two hundred eighty-five million, nine thousand, two hundred twenty-five".