3201228800 has 504 divisors, whose sum is σ = 10421553960. Its totient is φ = 963379200.

The previous prime is 3201228799. The next prime is 3201228817. The reversal of 3201228800 is 88221023.

It is a self number, because there is not a number n which added to its sum of digits gives 3201228800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 110387186 + ... + 110387214.

Almost surely, 2^3201228800 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 3201228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5210776980).

3201228800 is an abundant number, since it is smaller than the sum of its proper divisors (7220325160).

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

3201228800 is a wasteful number, since it uses less digits than its factorization.

3201228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 3201228800 is about 56579.4026126116. The cubic root of 3201228800 is about 1473.8011977304.

Adding to 3201228800 its reverse (88221023), we get a palindrome (3289449823).

The spelling of 3201228800 in words is "three billion, two hundred one million, two hundred twenty-eight thousand, eight hundred".