3222331200 has 336 divisors, whose sum is σ = 12816352320. Its totient is φ = 781056000.

The previous prime is 3222331171. The next prime is 3222331219. The reversal of 3222331200 is 21332223.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 471810 + ... + 478590.

Almost surely, 2^3222331200 is an apocalyptic number.

3222331200 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 3222331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6408176160).

3222331200 is an abundant number, since it is smaller than the sum of its proper divisors (9594021120).

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

3222331200 is a wasteful number, since it uses less digits than its factorization.

3222331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6823 (or 6802 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3222331200 is about 56765.5811209574. The cubic root of 3222331200 is about 1477.0325249420.

Adding to 3222331200 its reverse (21332223), we get a palindrome (3243663423).

The spelling of 3222331200 in words is "three billion, two hundred twenty-two million, three hundred thirty-one thousand, two hundred".