3220009128 has 288 divisors, whose sum is σ = 10537286760. Its totient is φ = 885104640.

The previous prime is 3220009127. The next prime is 3220009139. The reversal of 3220009128 is 8219000223.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1948516164 + 1271492964 = 44142^2 + 35658^2 .

It is not an unprimeable number, because it can be changed into a prime (3220009127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16345126 + ... + 16345322.

Almost surely, 2^3220009128 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 3220009128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5268643380).

3220009128 is an abundant number, since it is smaller than the sum of its proper divisors (7317277632).

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

3220009128 is a wasteful number, since it uses less digits than its factorization.

3220009128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3220009128 is about 56745.1242663191. The cubic root of 3220009128 is about 1476.6776472836.

The spelling of 3220009128 in words is "three billion, two hundred twenty million, nine thousand, one hundred twenty-eight".