3310220313120 has 384 divisors, whose sum is σ = 12160015612416. Its totient is φ = 741222383616.

The previous prime is 3310220313097. The next prime is 3310220313137. The reversal of 3310220313120 is 213130220133.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120546432 + ... + 120573888.

It is an arithmetic number, because the mean of its divisors is an integer number (31666707324).

Almost surely, 2^{3310220313120} is an apocalyptic number.

3310220313120 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 3310220313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6080007806208).

3310220313120 is an abundant number, since it is smaller than the sum of its proper divisors (8849795299296).

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

3310220313120 is a wasteful number, since it uses less digits than its factorization.

3310220313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28212 (or 28204 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 3310220313120 its reverse (213130220133), we get a palindrome (3523350533253).

The spelling of 3310220313120 in words is "three trillion, three hundred ten billion, two hundred twenty million, three hundred thirteen thousand, one hundred twenty".