3311122320 has 640 divisors, whose sum is σ = 13319147520. Its totient is φ = 748154880.

The previous prime is 3311122313. The next prime is 3311122337. The reversal of 3311122320 is 232211133.

3311122320 is a `hidden beast` number, since 331 + 1 + 12 + 2 + 320 = 666.

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 = 3311122293 and 3311122302.

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 127 ways as a sum of consecutive naturals, for example, 39892999 + ... + 39893081.

It is an arithmetic number, because the mean of its divisors is an integer number (20811168).

Almost surely, 2^3311122320 is an apocalyptic number.

3311122320 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 3311122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6659573760).

3311122320 is an abundant number, since it is smaller than the sum of its proper divisors (10008025200).

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

3311122320 is a wasteful number, since it uses less digits than its factorization.

3311122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 200 counting only the distinct ones).

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

The square root of 3311122320 is about 57542.3524023827. The cubic root of 3311122320 is about 1490.4763007398.

Adding to 3311122320 its reverse (232211133), we get a palindrome (3543333453).

The spelling of 3311122320 in words is "three billion, three hundred eleven million, one hundred twenty-two thousand, three hundred twenty".