3330144 has 72 divisors (see below), whose sum is σ = 9801792. Its totient is φ = 1071360.

The previous prime is 3330139. The next prime is 3330167. The reversal of 3330144 is 4410333.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3330144² = 22179718121472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8742 + ... + 9114.

It is an arithmetic number, because the mean of its divisors is an integer number (136136).

Almost surely, 2^3330144 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 3330144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4900896).

3330144 is an abundant number, since it is smaller than the sum of its proper divisors (6471648).

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

3330144 is a wasteful number, since it uses less digits than its factorization.

3330144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3330144 is about 1824.8682144199. The cubic root of 3330144 is about 149.3325007040.

Adding to 3330144 its reverse (4410333), we get a palindrome (7740477).

The spelling of 3330144 in words is "three million, three hundred thirty thousand, one hundred forty-four".