3144960 has 288 divisors, whose sum is σ = 13735680. Its totient is φ = 663552.

The previous prime is 3144959. The next prime is 3144961. The reversal of 3144960 is 694413.

It is an interprime number because it is at equal distance from previous prime (3144959) and next prime (3144961).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3144961) 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, 241914 + ... + 241926.

Almost surely, 2^3144960 is an apocalyptic number.

3144960 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 3144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6867840).

3144960 is an abundant number, since it is smaller than the sum of its proper divisors (10590720).

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

3144960 is a wasteful number, since it uses less digits than its factorization.

3144960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3144960 is about 1773.4035073835. The cubic root of 3144960 is about 146.5114979696.

The spelling of 3144960 in words is "three million, one hundred forty-four thousand, nine hundred sixty".