3223180800 has 540 divisors, whose sum is σ = 13441618476. Its totient is φ = 735436800.

The previous prime is 3223180771. The next prime is 3223180811. The reversal of 3223180800 is 80813223.

It is a congruent number.

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 53 ways as a sum of consecutive naturals, for example, 5644515 + ... + 5645085.

Almost surely, 2^3223180800 is an apocalyptic number.

3223180800 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 3223180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6720809238).

3223180800 is an abundant number, since it is smaller than the sum of its proper divisors (10218437676).

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

3223180800 is a wasteful number, since it uses less digits than its factorization.

3223180800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 588 counting only the distinct ones).

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

The square root of 3223180800 is about 56773.0640356851. The cubic root of 3223180800 is about 1477.1623250239.

The spelling of 3223180800 in words is "three billion, two hundred twenty-three million, one hundred eighty thousand, eight hundred".