3331120320 has 420 divisors, whose sum is σ = 12762890400. Its totient is φ = 797322240.

The previous prime is 3331120319. The next prime is 3331120361. The reversal of 3331120320 is 230211333.

3331120320 is a `hidden beast` number, since 3 + 331 + 12 + 0 + 320 = 666.

It is a super-2 number, since 2×3331120320² = 22192725172633804800, 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 = 3331120293 and 3331120302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 42166041 + ... + 42166119.

Almost surely, 2^3331120320 is an apocalyptic number.

3331120320 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 3331120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6381445200).

3331120320 is an abundant number, since it is smaller than the sum of its proper divisors (9431770080).

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

3331120320 is an equidigital number, since it uses as much as digits as its factorization.

3331120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3331120320 is about 57715.8584792776. The cubic root of 3331120320 is about 1493.4709287190.

Adding to 3331120320 its reverse (230211333), we get a palindrome (3561331653).

The spelling of 3331120320 in words is "three billion, three hundred thirty-one million, one hundred twenty thousand, three hundred twenty".