3332221200 has 480 divisors, whose sum is σ = 14790481920. Its totient is φ = 692236800.

The previous prime is 3332221183. The next prime is 3332221201. The reversal of 3332221200 is 21222333.

It is a happy number.

It is a super-2 number, since 2×3332221200² = 22207396251458880000, 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 (3332221201) 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, 829597 + ... + 833603.

It is an arithmetic number, because the mean of its divisors is an integer number (30813504).

Almost surely, 2^3332221200 is an apocalyptic number.

3332221200 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 3332221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7395240960).

3332221200 is an abundant number, since it is smaller than the sum of its proper divisors (11458260720).

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

3332221200 is a wasteful number, since it uses less digits than its factorization.

3332221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4052 (or 4035 counting only the distinct ones).

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

The square root of 3332221200 is about 57725.3947582864. The cubic root of 3332221200 is about 1493.6354330531.

Adding to 3332221200 its reverse (21222333), we get a palindrome (3353443533).

The spelling of 3332221200 in words is "three billion, three hundred thirty-two million, two hundred twenty-one thousand, two hundred".