3321312320 has 56 divisors (see below), whose sum is σ = 7940576448. Its totient is φ = 1323200000.

The previous prime is 3321312307. The next prime is 3321312329. The reversal of 3321312320 is 232131233.

It is a super-3 number, since 3×3321312320³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3321312292 and 3321312301.

It is not an unprimeable number, because it can be changed into a prime (3321312329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59645 + ... + 100995.

It is an arithmetic number, because the mean of its divisors is an integer number (141796008).

Almost surely, 2^3321312320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3321312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3970288224).

3321312320 is an abundant number, since it is smaller than the sum of its proper divisors (4619264128).

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

3321312320 is a wasteful number, since it uses less digits than its factorization.

3321312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41619 (or 41609 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 3321312320 is about 57630.8278614840. The cubic root of 3321312320 is about 1492.0037183624.

Adding to 3321312320 its reverse (232131233), we get a palindrome (3553443553).

The spelling of 3321312320 in words is "three billion, three hundred twenty-one million, three hundred twelve thousand, three hundred twenty".