3144320 has 64 divisors (see below), whose sum is σ = 7986600. Its totient is φ = 1183744.

The previous prime is 3144313. The next prime is 3144343. The reversal of 3144320 is 234413.

It can be written as a sum of positive squares in 4 ways, for example, as 2637376 + 506944 = 1624^2 + 712^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 184952 + ... + 184968.

Almost surely, 2^3144320 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 3144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3993300).

3144320 is an abundant number, since it is smaller than the sum of its proper divisors (4842280).

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

3144320 is an frugal number, since it uses more digits than its factorization.

3144320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 3144320 is about 1773.2230542151. The cubic root of 3144320 is about 146.5015589222.

Adding to 3144320 its reverse (234413), we get a palindrome (3378733).

The spelling of 3144320 in words is "three million, one hundred forty-four thousand, three hundred twenty".