3220728000 has 448 divisors, whose sum is σ = 12806476800. Its totient is φ = 696729600.

The previous prime is 3220727947. The next prime is 3220728031. The reversal of 3220728000 is 8270223.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 3191496 + ... + 3192504.

Almost surely, 2^3220728000 is an apocalyptic number.

3220728000 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 3220728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6403238400).

3220728000 is an abundant number, since it is smaller than the sum of its proper divisors (9585748800).

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

3220728000 is a wasteful number, since it uses less digits than its factorization.

3220728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 3220728000 is about 56751.4581310472. The cubic root of 3220728000 is about 1476.7875292937.

Adding to 3220728000 its reverse (8270223), we get a palindrome (3228998223).

The spelling of 3220728000 in words is "three billion, two hundred twenty million, seven hundred twenty-eight thousand".