3313120320 has 336 divisors, whose sum is σ = 11942356608. Its totient is φ = 874229760.

The previous prime is 3313120309. The next prime is 3313120331. The reversal of 3313120320 is 230213133.

3313120320 is a `hidden beast` number, since 3 + 31 + 312 + 0 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (3313120309) and next prime (3313120331).

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 = 3313120293 and 3313120302.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 10652965 + ... + 10653275.

It is an arithmetic number, because the mean of its divisors is an integer number (35542728).

Almost surely, 2^3313120320 is an apocalyptic number.

3313120320 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 3313120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5971178304).

3313120320 is an abundant number, since it is smaller than the sum of its proper divisors (8629236288).

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

3313120320 is a wasteful number, since it uses less digits than its factorization.

3313120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 458 counting only the distinct ones).

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

The square root of 3313120320 is about 57559.7109096284. The cubic root of 3313120320 is about 1490.7760352479.

Adding to 3313120320 its reverse (230213133), we get a palindrome (3543333453).

The spelling of 3313120320 in words is "three billion, three hundred thirteen million, one hundred twenty thousand, three hundred twenty".