3144301440 has 256 divisors, whose sum is σ = 11765675520. Its totient is φ = 699162624.

The previous prime is 3144301429. The next prime is 3144301441. The reversal of 3144301440 is 441034413.

3144301440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3144301440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3144301441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 494119 + ... + 500441.

It is an arithmetic number, because the mean of its divisors is an integer number (45959670).

Almost surely, 2^3144301440 is an apocalyptic number.

3144301440 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 3144301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5882837760).

3144301440 is an abundant number, since it is smaller than the sum of its proper divisors (8621374080).

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

3144301440 is a wasteful number, since it uses less digits than its factorization.

3144301440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6389 (or 6377 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3144301440 is about 56074.0710132589. The cubic root of 3144301440 is about 1465.0127066967.

Adding to 3144301440 its reverse (441034413), we get a palindrome (3585335853).

The spelling of 3144301440 in words is "three billion, one hundred forty-four million, three hundred one thousand, four hundred forty".