3222301200 has 480 divisors, whose sum is σ = 11572592640. Its totient is φ = 763084800.

The previous prime is 3222301171. The next prime is 3222301207. The reversal of 3222301200 is 21032223.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3222301200.

It is not an unprimeable number, because it can be changed into a prime (3222301207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33219552 + ... + 33219648.

It is an arithmetic number, because the mean of its divisors is an integer number (24109568).

Almost surely, 2^3222301200 is an apocalyptic number.

3222301200 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 3222301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5786296320).

3222301200 is an abundant number, since it is smaller than the sum of its proper divisors (8350291440).

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

3222301200 is a wasteful number, since it uses less digits than its factorization.

3222301200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3222301200 is about 56765.3168757121. The cubic root of 3222301200 is about 1477.0279411887.

Adding to 3222301200 its reverse (21032223), we get a palindrome (3243333423).

The spelling of 3222301200 in words is "three billion, two hundred twenty-two million, three hundred one thousand, two hundred".