3243253200 has 480 divisors, whose sum is σ = 12205468800. Its totient is φ = 727449600.

The previous prime is 3243253147. The next prime is 3243253219. The reversal of 3243253200 is 23523423.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21766726 + ... + 21766874.

It is an arithmetic number, because the mean of its divisors is an integer number (25428060).

Almost surely, 2^3243253200 is an apocalyptic number.

3243253200 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 3243253200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6102734400).

3243253200 is an abundant number, since it is smaller than the sum of its proper divisors (8962215600).

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

3243253200 is a wasteful number, since it uses less digits than its factorization.

3243253200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 3243253200 is about 56949.5671625343. The cubic root of 3243253200 is about 1480.2223308551. Note that the first 3 decimals are identical.

Adding to 3243253200 its reverse (23523423), we get a palindrome (3266776623).

The spelling of 3243253200 in words is "three billion, two hundred forty-three million, two hundred fifty-three thousand, two hundred".