3222000320 has 224 divisors, whose sum is σ = 9791248896. Its totient is φ = 980582400.

The previous prime is 3222000317. The next prime is 3222000389. The reversal of 3222000320 is 230002223.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 3222000295 and 3222000304.

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 31 ways as a sum of consecutive naturals, for example, 1058000 + ... + 1061040.

Almost surely, 2^3222000320 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 3222000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4895624448).

3222000320 is an abundant number, since it is smaller than the sum of its proper divisors (6569248576).

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

3222000320 is a wasteful number, since it uses less digits than its factorization.

3222000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3119 (or 3109 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 3222000320 is about 56762.6666040277. Note that the first 4 decimals coincide. The cubic root of 3222000320 is about 1476.9819676259.

Adding to 3222000320 its reverse (230002223), we get a palindrome (3452002543).

The spelling of 3222000320 in words is "three billion, two hundred twenty-two million, three hundred twenty", and thus it is an aban number.