3222304100 has 72 divisors (see below), whose sum is σ = 7603966440. Its totient is φ = 1180293120.

The previous prime is 3222304079. The next prime is 3222304139. The reversal of 3222304100 is 14032223.

It can be written as a sum of positive squares in 12 ways, for example, as 360696064 + 2861608036 = 18992^2 + 53494^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

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 23 ways as a sum of consecutive naturals, for example, 37286 + ... + 88514.

It is an arithmetic number, because the mean of its divisors is an integer number (105610645).

Almost surely, 2^3222304100 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 3222304100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3801983220).

3222304100 is an abundant number, since it is smaller than the sum of its proper divisors (4381662340).

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

3222304100 is a wasteful number, since it uses less digits than its factorization.

3222304100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51297 (or 51290 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 3222304100 is about 56765.3424194728. The cubic root of 3222304100 is about 1477.0283842861.

Adding to 3222304100 its reverse (14032223), we get a palindrome (3236336323).

The spelling of 3222304100 in words is "three billion, two hundred twenty-two million, three hundred four thousand, one hundred".