3312288000 has 864 divisors, whose sum is σ = 14325921792. Its totient is φ = 718848000.

The previous prime is 3312287999. The next prime is 3312288019. The reversal of 3312288000 is 8822133.

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 95 ways as a sum of consecutive naturals, for example, 62495974 + ... + 62496026.

It is an arithmetic number, because the mean of its divisors is an integer number (16580928).

Almost surely, 2^3312288000 is an apocalyptic number.

3312288000 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 3312288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7162960896).

3312288000 is an abundant number, since it is smaller than the sum of its proper divisors (11013633792).

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

3312288000 is a wasteful number, since it uses less digits than its factorization.

3312288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3312288000 is about 57552.4803983286. The cubic root of 3312288000 is about 1490.6511875204.

The spelling of 3312288000 in words is "three billion, three hundred twelve million, two hundred eighty-eight thousand".