3220032144 has 320 divisors, whose sum is σ = 10399334400. Its totient is φ = 838273536.

The previous prime is 3220032107. The next prime is 3220032149. The reversal of 3220032144 is 4412300223.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 3220032144.

It is not an unprimeable number, because it can be changed into a prime (3220032149) 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 63 ways as a sum of consecutive naturals, for example, 31262397 + ... + 31262499.

It is an arithmetic number, because the mean of its divisors is an integer number (32497920).

Almost surely, 2^3220032144 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 3220032144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5199667200).

3220032144 is an abundant number, since it is smaller than the sum of its proper divisors (7179302256).

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

3220032144 is a wasteful number, since it uses less digits than its factorization.

3220032144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3220032144 is about 56745.3270675216. The cubic root of 3220032144 is about 1476.6811656102.

Adding to 3220032144 its reverse (4412300223), we get a palindrome (7632332367).

The spelling of 3220032144 in words is "three billion, two hundred twenty million, thirty-two thousand, one hundred forty-four".