3225103200 has 432 divisors, whose sum is σ = 12708311616. Its totient is φ = 762854400.

The previous prime is 3225103183. The next prime is 3225103207. The reversal of 3225103200 is 23015223.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3225103207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3405127 + ... + 3406073.

It is an arithmetic number, because the mean of its divisors is an integer number (29417388).

Almost surely, 2^3225103200 is an apocalyptic number.

3225103200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3225103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6354155808).

3225103200 is an abundant number, since it is smaller than the sum of its proper divisors (9483208416).

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

3225103200 is a wasteful number, since it uses less digits than its factorization.

3225103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 3225103200 is about 56789.9920760692. The cubic root of 3225103200 is about 1477.4559410363.

Adding to 3225103200 its reverse (23015223), we get a palindrome (3248118423).

The spelling of 3225103200 in words is "three billion, two hundred twenty-five million, one hundred three thousand, two hundred".