3322231200 has 360 divisors, whose sum is σ = 12227779872. Its totient is φ = 877754880.

The previous prime is 3322231153. The next prime is 3322231201. The reversal of 3322231200 is 21322233.

It is a happy number.

3322231200 is a `hidden beast` number, since 332 + 22 + 312 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×3322231200² = 22074440292506880000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3322231201) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10821447 + ... + 10821753.

Almost surely, 2^3322231200 is an apocalyptic number.

3322231200 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 3322231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6113889936).

3322231200 is an abundant number, since it is smaller than the sum of its proper divisors (8905548672).

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

3322231200 is a wasteful number, since it uses less digits than its factorization.

3322231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 484 counting only the distinct ones).

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

The square root of 3322231200 is about 57638.7994323268. The cubic root of 3322231200 is about 1492.1412991169.

Adding to 3322231200 its reverse (21322233), we get a palindrome (3343553433).

The spelling of 3322231200 in words is "three billion, three hundred twenty-two million, two hundred thirty-one thousand, two hundred".