3220672499328 has 256 divisors, whose sum is σ = 9132880896000. Its totient is φ = 1002716467200.

The previous prime is 3220672499327. The next prime is 3220672499377. The reversal of 3220672499328 is 8239942760223.

3220672499328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (3220672499327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176109001 + ... + 176127287.

It is an arithmetic number, because the mean of its divisors is an integer number (35675316000).

Almost surely, 2^{3220672499328} is an apocalyptic number.

3220672499328 is a gapful number since it is divisible by the number (38) 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 3220672499328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4566440448000).

3220672499328 is an abundant number, since it is smaller than the sum of its proper divisors (5912208396672).

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

3220672499328 is a wasteful number, since it uses less digits than its factorization.

3220672499328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18663 (or 18651 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 57.

The spelling of 3220672499328 in words is "three trillion, two hundred twenty billion, six hundred seventy-two million, four hundred ninety-nine thousand, three hundred twenty-eight".