3144003200 has 96 divisors (see below), whose sum is σ = 8364217260. Its totient is φ = 1160847360.

The previous prime is 3144003197. The next prime is 3144003221. The reversal of 3144003200 is 23004413.

3144003200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 278756416 + 2865246784 = 16696^2 + 53528^2 .

It is a super-2 number, since 2×3144003200² = 19769512243220480000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3812 + ... + 79388.

Almost surely, 2^3144003200 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 3144003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4182108630).

3144003200 is an abundant number, since it is smaller than the sum of its proper divisors (5220214060).

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

3144003200 is a wasteful number, since it uses less digits than its factorization.

3144003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75614 (or 75597 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 3144003200 is about 56071.4116105525. The cubic root of 3144003200 is about 1464.9663859465.

Adding to 3144003200 its reverse (23004413), we get a palindrome (3167007613).

The spelling of 3144003200 in words is "three billion, one hundred forty-four million, three thousand, two hundred".