3326608800 has 432 divisors, whose sum is σ = 12284213760. Its totient is φ = 846336000.

The previous prime is 3326608799. The next prime is 3326608801. The reversal of 3326608800 is 88066233.

It is an interprime number because it is at equal distance from previous prime (3326608799) and next prime (3326608801).

It is a super-2 number, since 2×3326608800² = 22132652216474880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3326608801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17416705 + ... + 17416895.

It is an arithmetic number, because the mean of its divisors is an integer number (28435680).

Almost surely, 2^3326608800 is an apocalyptic number.

3326608800 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 3326608800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6142106880).

3326608800 is an abundant number, since it is smaller than the sum of its proper divisors (8957604960).

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

3326608800 is a wasteful number, since it uses less digits than its factorization.

3326608800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3326608800 is about 57676.7613515183. The cubic root of 3326608800 is about 1492.7963940870.

The spelling of 3326608800 in words is "three billion, three hundred twenty-six million, six hundred eight thousand, eight hundred".