3221008772800 has 672 divisors, whose sum is σ = 10163300618240. Its totient is φ = 977312563200.

The previous prime is 3221008772797. The next prime is 3221008772837. The reversal of 3221008772800 is 82778001223.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 491979127 + ... + 491985673.

Almost surely, 2^{3221008772800} 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 3221008772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5081650309120).

3221008772800 is an abundant number, since it is smaller than the sum of its proper divisors (6942291845440).

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

3221008772800 is a wasteful number, since it uses less digits than its factorization.

3221008772800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6729 (or 6714 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The spelling of 3221008772800 in words is "three trillion, two hundred twenty-one billion, eight million, seven hundred seventy-two thousand, eight hundred".