3321112320 has 144 divisors (see below), whose sum is σ = 11785458720. Its totient is φ = 885620736.

The previous prime is 3321112253. The next prime is 3321112321. The reversal of 3321112320 is 232111233.

3321112320 is a `hidden beast` number, since 332 + 1 + 1 + 12 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3321112320² = 22059574084111564800, which 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 = 3321112293 and 3321112302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3321112321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13489 + ... + 82608.

Almost surely, 2^3321112320 is an apocalyptic number.

3321112320 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 3321112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5892729360).

3321112320 is an abundant number, since it is smaller than the sum of its proper divisors (8464346400).

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

3321112320 is an equidigital number, since it uses as much as digits as its factorization.

3321112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96127 (or 96107 counting only the distinct ones).

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

The square root of 3321112320 is about 57629.0926529301. The cubic root of 3321112320 is about 1491.9737696850.

Adding to 3321112320 its reverse (232111233), we get a palindrome (3553223553).

The spelling of 3321112320 in words is "three billion, three hundred twenty-one million, one hundred twelve thousand, three hundred twenty".