3323120020420 has 288 divisors, whose sum is σ = 7707375244800. Its totient is φ = 1199207116800.

The previous prime is 3323120020391. The next prime is 3323120020447. The reversal of 3323120020420 is 240200213233.

3323120020420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3323120020420² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3323120020391 and 3323120020400.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12635437209 + ... + 12635437471.

It is an arithmetic number, because the mean of its divisors is an integer number (26761719600).

Almost surely, 2^{3323120020420} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3323120020420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3853687622400).

3323120020420 is an abundant number, since it is smaller than the sum of its proper divisors (4384255224380).

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

3323120020420 is a wasteful number, since it uses less digits than its factorization.

3323120020420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 3323120020420 its reverse (240200213233), we get a palindrome (3563320233653).

The spelling of 3323120020420 in words is "three trillion, three hundred twenty-three billion, one hundred twenty million, twenty thousand, four hundred twenty".