3120144320 has 56 divisors (see below), whose sum is σ = 7442356464. Its totient is φ = 1245956096.

The previous prime is 3120144301. The next prime is 3120144331. The reversal of 3120144320 is 234410213.

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

It is a junction number, because it is equal to n+sod(n) for n = 3120144292 and 3120144301.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 189539 + ... + 205341.

Almost surely, 2^3120144320 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 3120144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3721178232).

3120144320 is an abundant number, since it is smaller than the sum of its proper divisors (4322212144).

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

3120144320 is a wasteful number, since it uses less digits than its factorization.

3120144320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16437 (or 16427 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3120144320 is about 55858.2520313695. The cubic root of 3120144320 is about 1461.2512448635.

Adding to 3120144320 its reverse (234410213), we get a palindrome (3354554533).

The spelling of 3120144320 in words is "three billion, one hundred twenty million, one hundred forty-four thousand, three hundred twenty".