3144003120 has 160 divisors (see below), whose sum is σ = 11466498240. Its totient is φ = 789073920.

The previous prime is 3144003113. The next prime is 3144003127. The reversal of 3144003120 is 213004413.

3144003120 is a `hidden beast` number, since 314 + 40 + 0 + 312 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3144003113) and next prime (3144003127).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3144003093 and 3144003102.

It is not an unprimeable number, because it can be changed into a prime (3144003127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6091 + ... + 79530.

It is an arithmetic number, because the mean of its divisors is an integer number (71665614).

Almost surely, 2^3144003120 is an apocalyptic number.

3144003120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3144003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5733249120).

3144003120 is an abundant number, since it is smaller than the sum of its proper divisors (8322495120).

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

3144003120 is a wasteful number, since it uses less digits than its factorization.

3144003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85660 (or 85648 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3144003120 is about 56071.4108971765. The cubic root of 3144003120 is about 1464.9663735210.

Adding to 3144003120 its reverse (213004413), we get a palindrome (3357007533).

The spelling of 3144003120 in words is "three billion, one hundred forty-four million, three thousand, one hundred twenty".