3144340320 has 96 divisors (see below), whose sum is σ = 10805114880. Its totient is φ = 762263040.

The previous prime is 3144340319. The next prime is 3144340361. The reversal of 3144340320 is 230434413.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 292480 + ... + 303039.

It is an arithmetic number, because the mean of its divisors is an integer number (112553280).

Almost surely, 2^3144340320 is an apocalyptic number.

3144340320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3144340320 is an abundant number, since it is smaller than the sum of its proper divisors (7660774560).

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

3144340320 is a wasteful number, since it uses less digits than its factorization.

3144340320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595548 (or 595540 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3144340320 is about 56074.4176964862. The cubic root of 3144340320 is about 1465.0187450765.

Adding to 3144340320 its reverse (230434413), we get a palindrome (3374774733).

The spelling of 3144340320 in words is "three billion, one hundred forty-four million, three hundred forty thousand, three hundred twenty".