3322313022000 has 320 divisors, whose sum is σ = 12663418060800. Its totient is φ = 733199846400.

The previous prime is 3322313021981. The next prime is 3322313022001. The reversal of 3322313022000 is 2203132233.

It is a super-2 number, since 2×3322313022000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (3322313022001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 145840 + ... + 2581839.

It is an arithmetic number, because the mean of its divisors is an integer number (39573181440).

Almost surely, 2^{3322313022000} is an apocalyptic number.

3322313022000 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 3322313022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6331709030400).

3322313022000 is an abundant number, since it is smaller than the sum of its proper divisors (9341105038800).

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

3322313022000 is a wasteful number, since it uses less digits than its factorization.

3322313022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2727741 (or 2727725 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 3322313022000 its reverse (2203132233), we get a palindrome (3324516154233).

The spelling of 3322313022000 in words is "three trillion, three hundred twenty-two billion, three hundred thirteen million, twenty-two thousand".