3322144000 has 144 divisors (see below), whose sum is σ = 9458781696. Its totient is φ = 1138944000.

The previous prime is 3322143983. The next prime is 3322144003. The reversal of 3322144000 is 4412233.

It is a super-2 number, since 2×3322144000² = 22073281513472000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3322144003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 216585 + ... + 231415.

It is an arithmetic number, because the mean of its divisors is an integer number (65685984).

Almost surely, 2^3322144000 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 3322144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4729390848).

3322144000 is an abundant number, since it is smaller than the sum of its proper divisors (6136637696).

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

3322144000 is an equidigital number, since it uses as much as digits as its factorization.

3322144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14869 (or 14845 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 3322144000 is about 57638.0429924542. The cubic root of 3322144000 is about 1492.1282440492.

Adding to 3322144000 its reverse (4412233), we get a palindrome (3326556233).

The spelling of 3322144000 in words is "three billion, three hundred twenty-two million, one hundred forty-four thousand".