3242144000 has 144 divisors (see below), whose sum is σ = 8196080256. Its totient is φ = 1277696000.

The previous prime is 3242143997. The next prime is 3242144047. The reversal of 3242144000 is 4412423.

It is a super-2 number, since 2×3242144000² = 21022995433472000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2271287 + ... + 2272713.

It is an arithmetic number, because the mean of its divisors is an integer number (56917224).

Almost surely, 2^3242144000 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 3242144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4098040128).

3242144000 is an abundant number, since it is smaller than the sum of its proper divisors (4953936256).

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

3242144000 is an equidigital number, since it uses as much as digits as its factorization.

3242144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1529 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 3242144000 is about 56939.8278887459. The cubic root of 3242144000 is about 1480.0535651419.

Adding to 3242144000 its reverse (4412423), we get a palindrome (3246556423).

The spelling of 3242144000 in words is "three billion, two hundred forty-two million, one hundred forty-four thousand".