3322431200 has 288 divisors, whose sum is σ = 9629383680. Its totient is φ = 1105920000.

The previous prime is 3322431199. The next prime is 3322431209. The reversal of 3322431200 is 21342233.

It is a super-2 number, since 2×3322431200² = 22077098157466880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3322431209) by changing a digit.

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, 5182880 + ... + 5183520.

It is an arithmetic number, because the mean of its divisors is an integer number (33435360).

Almost surely, 2^3322431200 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 3322431200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4814691840).

3322431200 is an abundant number, since it is smaller than the sum of its proper divisors (6306952480).

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

3322431200 is a wasteful number, since it uses less digits than its factorization.

3322431200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 3322431200 is about 57640.5343486682. The cubic root of 3322431200 is about 1492.1712410699.

Adding to 3322431200 its reverse (21342233), we get a palindrome (3343773433).

The spelling of 3322431200 in words is "three billion, three hundred twenty-two million, four hundred thirty-one thousand, two hundred".