3144343440 has 160 divisors (see below), whose sum is σ = 11726392320. Its totient is φ = 680873472.

The previous prime is 3144343373. The next prime is 3144343453. The reversal of 3144343440 is 443434413.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3144343398 and 3144343407.

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 31 ways as a sum of consecutive naturals, for example, 17334 + ... + 81173.

It is an arithmetic number, because the mean of its divisors is an integer number (73289952).

Almost surely, 2^3144343440 is an apocalyptic number.

3144343440 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 3144343440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5863196160).

3144343440 is an abundant number, since it is smaller than the sum of its proper divisors (8582048880).

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

3144343440 is a wasteful number, since it uses less digits than its factorization.

3144343440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98549 (or 98543 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

The square root of 3144343440 is about 56074.4455166522. The cubic root of 3144343440 is about 1465.0192296357.

Adding to 3144343440 its reverse (443434413), we get a palindrome (3587777853).

The spelling of 3144343440 in words is "three billion, one hundred forty-four million, three hundred forty-three thousand, four hundred forty".