3180144 has 80 divisors (see below), whose sum is σ = 9463680. Its totient is φ = 910080.

The previous prime is 3180143. The next prime is 3180167. The reversal of 3180144 is 4410813.

It is a super-2 number, since 2×3180144² = 20226631721472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3180144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3180143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9874 + ... + 10190.

It is an arithmetic number, because the mean of its divisors is an integer number (118296).

Almost surely, 2^3180144 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 3180144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4731840).

3180144 is an abundant number, since it is smaller than the sum of its proper divisors (6283536).

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

3180144 is a wasteful number, since it uses less digits than its factorization.

3180144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 3180144 is about 1783.2958251507. The cubic root of 3180144 is about 147.0558351455.

Adding to 3180144 its reverse (4410813), we get a palindrome (7590957).

The spelling of 3180144 in words is "three million, one hundred eighty thousand, one hundred forty-four".