3144480 has 48 divisors (see below), whose sum is σ = 9906624. Its totient is φ = 838400.

The previous prime is 3144469. The next prime is 3144509. The reversal of 3144480 is 844413.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3144480.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2796 + ... + 3755.

It is an arithmetic number, because the mean of its divisors is an integer number (206388).

Almost surely, 2^3144480 is an apocalyptic number.

3144480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3144480 is an abundant number, since it is smaller than the sum of its proper divisors (6762144).

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

3144480 is a wasteful number, since it uses less digits than its factorization.

3144480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6569 (or 6561 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 3144480 is about 1773.2681692288. The cubic root of 3144480 is about 146.5040438105.

Adding to 3144480 its reverse (844413), we get a palindrome (3988893).

The spelling of 3144480 in words is "three million, one hundred forty-four thousand, four hundred eighty".