3318008320 has 320 divisors, whose sum is σ = 9545817600. Its totient is φ = 1091829760.

The previous prime is 3318008299. The next prime is 3318008333. The reversal of 3318008320 is 238008133.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×3318008320² = 22018358423178444800, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 13882761 + ... + 13882999.

It is an arithmetic number, because the mean of its divisors is an integer number (29830680).

Almost surely, 2^3318008320 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 3318008320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4772908800).

3318008320 is an abundant number, since it is smaller than the sum of its proper divisors (6227809280).

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

3318008320 is a wasteful number, since it uses less digits than its factorization.

3318008320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 3318008320 is about 57602.1555152236. The cubic root of 3318008320 is about 1491.5088119978.

The spelling of 3318008320 in words is "three billion, three hundred eighteen million, eight thousand, three hundred twenty".