3331989640200 has 1152 divisors, whose sum is σ = 12703631915520. Its totient is φ = 715264819200.

The previous prime is 3331989640169. The next prime is 3331989640229. The reversal of 3331989640200 is 20469891333.

It is a happy number.

It is a super-2 number, since 2×3331989640200² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3331989640200.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2249823460 + ... + 2249824940.

It is an arithmetic number, because the mean of its divisors is an integer number (11027458260).

Almost surely, 2^{3331989640200} is an apocalyptic number.

3331989640200 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 3331989640200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6351815957760).

3331989640200 is an abundant number, since it is smaller than the sum of its proper divisors (9371642275320).

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

3331989640200 is a wasteful number, since it uses less digits than its factorization.

3331989640200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1615 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 48.

The spelling of 3331989640200 in words is "three trillion, three hundred thirty-one billion, nine hundred eighty-nine million, six hundred forty thousand, two hundred".