3225838200 has 288 divisors, whose sum is σ = 11212117200. Its totient is φ = 765972480.

The previous prime is 3225838177. The next prime is 3225838201. The reversal of 3225838200 is 28385223.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3225838201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2940052 + ... + 2941148.

Almost surely, 2^3225838200 is an apocalyptic number.

3225838200 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 3225838200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5606058600).

3225838200 is an abundant number, since it is smaller than the sum of its proper divisors (7986279000).

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

3225838200 is a wasteful number, since it uses less digits than its factorization.

3225838200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 3225838200 is about 56796.4629180374. The cubic root of 3225838200 is about 1477.5681697585.

The spelling of 3225838200 in words is "three billion, two hundred twenty-five million, eight hundred thirty-eight thousand, two hundred".