3223348800 has 672 divisors, whose sum is σ = 13037832192. Its totient is φ = 681246720.

The previous prime is 3223348787. The next prime is 3223348853. The reversal of 3223348800 is 88433223.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×3223348800² = 20779954972922880000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33230352 + ... + 33230448.

It is an arithmetic number, because the mean of its divisors is an integer number (19401536).

Almost surely, 2^3223348800 is an apocalyptic number.

3223348800 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 3223348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6518916096).

3223348800 is an abundant number, since it is smaller than the sum of its proper divisors (9814483392).

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

3223348800 is a wasteful number, since it uses less digits than its factorization.

3223348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 3223348800 is about 56774.5435912963. The cubic root of 3223348800 is about 1477.1879890056.

The spelling of 3223348800 in words is "three billion, two hundred twenty-three million, three hundred forty-eight thousand, eight hundred".