3313212320 has 144 divisors (see below), whose sum is σ = 8768791080. Its totient is φ = 1181706240.

The previous prime is 3313212311. The next prime is 3313212347. The reversal of 3313212320 is 232123133.

It can be written as a sum of positive squares in 4 ways, for example, as 2681996944 + 631215376 = 51788^2 + 25124^2 .

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 = 3313212292 and 3313212301.

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 23 ways as a sum of consecutive naturals, for example, 1024466 + ... + 1027694.

Almost surely, 2^3313212320 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 3313212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4384395540).

3313212320 is an abundant number, since it is smaller than the sum of its proper divisors (5455578760).

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

3313212320 is a wasteful number, since it uses less digits than its factorization.

3313212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3319 (or 3300 counting only the distinct ones).

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

The square root of 3313212320 is about 57560.5100741819. The cubic root of 3313212320 is about 1490.7898339344.

Adding to 3313212320 its reverse (232123133), we get a palindrome (3545335453).

The spelling of 3313212320 in words is "three billion, three hundred thirteen million, two hundred twelve thousand, three hundred twenty".