3342144 has 84 divisors (see below), whose sum is σ = 9668256. Its totient is φ = 1018368.

The previous prime is 3342139. The next prime is 3342151. The reversal of 3342144 is 4412433.

It is a super-2 number, since 2×3342144² = 22339853033472, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1152) is a multiple of the sum of its prime factors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 3342144.

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, 32397 + ... + 32499.

Almost surely, 2^3342144 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 3342144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4834128).

3342144 is an abundant number, since it is smaller than the sum of its proper divisors (6326112).

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

3342144 is a wasteful number, since it uses less digits than its factorization.

3342144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 121 counting only the distinct ones).

The product of its digits is 1152, while the sum is 21.

The square root of 3342144 is about 1828.1531664497. The cubic root of 3342144 is about 149.5116563060.

Adding to 3342144 its reverse (4412433), we get a palindrome (7754577).

It can be divided in two parts, 3342 and 144, that added together give a triangular number (3486 = T₈₃).

The spelling of 3342144 in words is "three million, three hundred forty-two thousand, one hundred forty-four".