3144041120 has 192 divisors, whose sum is σ = 8550178560. Its totient is φ = 1081344000.

The previous prime is 3144041101. The next prime is 3144041137. The reversal of 3144041120 is 211404413.

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 = 3144041092 and 3144041101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4088096 + ... + 4088864.

It is an arithmetic number, because the mean of its divisors is an integer number (44532180).

Almost surely, 2^3144041120 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 3144041120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4275089280).

3144041120 is an abundant number, since it is smaller than the sum of its proper divisors (5406137440).

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

3144041120 is a wasteful number, since it uses less digits than its factorization.

3144041120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 3144041120 is about 56071.7497497626. The cubic root of 3144041120 is about 1464.9722756036.

Adding to 3144041120 its reverse (211404413), we get a palindrome (3355445533).

The spelling of 3144041120 in words is "three billion, one hundred forty-four million, forty-one thousand, one hundred twenty".