3225651200 has 108 divisors (see below), whose sum is σ = 8029652085. Its totient is φ = 1285120000.

The previous prime is 3225651199. The next prime is 3225651203. The reversal of 3225651200 is 21565223.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 3161138176 + 64513024 = 56224^2 + 8032^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=40160.

It is a super-2 number, since 2×3225651200² = 20809651328122880000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3225651200.

It is not an unprimeable number, because it can be changed into a prime (3225651203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12851075 + ... + 12851325.

Almost surely, 2^3225651200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3225651200

3225651200 is an abundant number, since it is smaller than the sum of its proper divisors (4804000885).

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

3225651200 is an frugal number, since it uses more digits than its factorization.

3225651200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 3225651200 is about 56794.8166649035. The cubic root of 3225651200 is about 1477.5396179455.

The spelling of 3225651200 in words is "three billion, two hundred twenty-five million, six hundred fifty-one thousand, two hundred".