3313793280 has 576 divisors, whose sum is σ = 12847177728. Its totient is φ = 712212480.

The previous prime is 3313793261. The next prime is 3313793293. The reversal of 3313793280 is 823973133.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54324450 + ... + 54324510.

It is an arithmetic number, because the mean of its divisors is an integer number (22304128).

Almost surely, 2^3313793280 is an apocalyptic number.

3313793280 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 3313793280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6423588864).

3313793280 is an abundant number, since it is smaller than the sum of its proper divisors (9533384448).

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

3313793280 is a wasteful number, since it uses less digits than its factorization.

3313793280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The square root of 3313793280 is about 57565.5563683701. The cubic root of 3313793280 is about 1490.8769637409.

The spelling of 3313793280 in words is "three billion, three hundred thirteen million, seven hundred ninety-three thousand, two hundred eighty".