3321022320000 has 1920 divisors, whose sum is σ = 15300457286400. Its totient is φ = 671016960000.

The previous prime is 3321022319929. The next prime is 3321022320001. The reversal of 3321022320000 is 232201233.

It is a happy number.

3321022320000 is a `hidden beast` number, since 3 + 321 + 0 + 22 + 320 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×3321022320000² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3321022320001) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 2051279191 + ... + 2051280809.

It is an arithmetic number, because the mean of its divisors is an integer number (7968988170).

Almost surely, 2^{3321022320000} is an apocalyptic number.

3321022320000 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 3321022320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7650228643200).

3321022320000 is an abundant number, since it is smaller than the sum of its proper divisors (11979434966400).

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

3321022320000 is a wasteful number, since it uses less digits than its factorization.

3321022320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714 (or 1684 counting only the distinct ones).

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

Adding to 3321022320000 its reverse (232201233), we get a palindrome (3321254521233).

The spelling of 3321022320000 in words is "three trillion, three hundred twenty-one billion, twenty-two million, three hundred twenty thousand".