3221200312320 has 384 divisors, whose sum is σ = 10427995468800. Its totient is φ = 848799596544.

The previous prime is 3221200312303. The next prime is 3221200312361. The reversal of 3221200312320 is 232130021223.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3221200312320² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2066195701 + ... + 2066197259.

It is an arithmetic number, because the mean of its divisors is an integer number (27156238200).

Almost surely, 2^{3221200312320} is an apocalyptic number.

3221200312320 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 3221200312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5213997734400).

3221200312320 is an abundant number, since it is smaller than the sum of its proper divisors (7206795156480).

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

3221200312320 is a wasteful number, since it uses less digits than its factorization.

3221200312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2345 (or 2325 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 3221200312320 its reverse (232130021223), we get a palindrome (3453330333543).

The spelling of 3221200312320 in words is "three trillion, two hundred twenty-one billion, two hundred million, three hundred twelve thousand, three hundred twenty".