3310001122320 has 320 divisors, whose sum is σ = 11463695443200. Its totient is φ = 877834506240.

The previous prime is 3310001122319. The next prime is 3310001122333. The reversal of 3310001122320 is 232211000133.

3310001122320 is a `hidden beast` number, since 3 + 310 + 0 + 0 + 11 + 22 + 320 = 666.

It is a super-2 number, since 2×3310001122320² (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 junction number, because it is equal to n+sod(n) for n = 3310001122293 and 3310001122302.

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 63 ways as a sum of consecutive naturals, for example, 330697476 + ... + 330707484.

It is an arithmetic number, because the mean of its divisors is an integer number (35824048260).

Almost surely, 2^{3310001122320} is an apocalyptic number.

3310001122320 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 3310001122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5731847721600).

3310001122320 is an abundant number, since it is smaller than the sum of its proper divisors (8153694320880).

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

3310001122320 is a wasteful number, since it uses less digits than its factorization.

3310001122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10855 (or 10843 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 3310001122320 its reverse (232211000133), we get a palindrome (3542212122453).

The spelling of 3310001122320 in words is "three trillion, three hundred ten billion, one million, one hundred twenty-two thousand, three hundred twenty".