3323084800 has 360 divisors, whose sum is σ = 10076507840. Its totient is φ = 1061683200.

The previous prime is 3323084783. The next prime is 3323084801. The reversal of 3323084800 is 84803233.

It is a super-2 number, since 2×3323084800² = 22085785175982080000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3323084801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54476770 + ... + 54476830.

Almost surely, 2^3323084800 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 3323084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5038253920).

3323084800 is an abundant number, since it is smaller than the sum of its proper divisors (6753423040).

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

3323084800 is an equidigital number, since it uses as much as digits as its factorization.

3323084800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 3323084800 is about 57646.2036911365. The cubic root of 3323084800 is about 1492.2690829932.

The spelling of 3323084800 in words is "three billion, three hundred twenty-three million, eighty-four thousand, eight hundred".