3282220656100 has 81 divisors (see below), whose sum is σ = 7566739710033. Its totient is φ = 1235543592960.

The previous prime is 3282220656073. The next prime is 3282220656107. The reversal of 3282220656100 is 16560222823.

The square root of 3282220656100 is 1811690.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 2814791374756 + 467429281344 = 1677734^2 + 683688^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3282220656100.

It is not an unprimeable number, because it can be changed into a prime (3282220656107) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 307981972 + ... + 307992628.

Almost surely, 2^{3282220656100} is an apocalyptic number.

3282220656100 is the 1811690-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3282220656100

3282220656100 is an abundant number, since it is smaller than the sum of its proper divisors (4284519053933).

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

3282220656100 is an equidigital number, since it uses as much as digits as its factorization.

3282220656100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21362 (or 10681 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

Adding to 3282220656100 its reverse (16560222823), we get a palindrome (3298780878923).

The spelling of 3282220656100 in words is "three trillion, two hundred eighty-two billion, two hundred twenty million, six hundred fifty-six thousand, one hundred".