3220823720448 has 800 divisors, whose sum is σ = 10195758144000. Its totient is φ = 1010815303680.

The previous prime is 3220823720437. The next prime is 3220823720453. The reversal of 3220823720448 is 8440273280223.

3220823720448 is a `hidden beast` number, since 3 + 2 + 208 + 237 + 204 + 4 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10356346213 + ... + 10356346523.

It is an arithmetic number, because the mean of its divisors is an integer number (12744697680).

Almost surely, 2^{3220823720448} 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 3220823720448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5097879072000).

3220823720448 is an abundant number, since it is smaller than the sum of its proper divisors (6974934423552).

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

3220823720448 is a wasteful number, since it uses less digits than its factorization.

3220823720448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 3220823720448 in words is "three trillion, two hundred twenty billion, eight hundred twenty-three million, seven hundred twenty thousand, four hundred forty-eight".