3313207008320 has 448 divisors, whose sum is σ = 8949366521856. Its totient is φ = 1157755576320.

The previous prime is 3313207008277. The next prime is 3313207008337. The reversal of 3313207008320 is 238007023133.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 63 ways as a sum of consecutive naturals, for example, 6335003579 + ... + 6335004101.

Almost surely, 2^{3313207008320} 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 3313207008320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4474683260928).

3313207008320 is an abundant number, since it is smaller than the sum of its proper divisors (5636159513536).

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

3313207008320 is a wasteful number, since it uses less digits than its factorization.

3313207008320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 32.

The spelling of 3313207008320 in words is "three trillion, three hundred thirteen billion, two hundred seven million, eight thousand, three hundred twenty".