3384144 has 60 divisors (see below), whose sum is σ = 9633312. Its totient is φ = 1108800.

The previous prime is 3384133. The next prime is 3384149. The reversal of 3384144 is 4414833.

It is a super-2 number, since 2×3384144² = 22904861225472, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3384149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10059 + ... + 10389.

Almost surely, 2^3384144 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 3384144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4816656).

3384144 is an abundant number, since it is smaller than the sum of its proper divisors (6249168).

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

3384144 is a wasteful number, since it uses less digits than its factorization.

3384144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 407 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 3384144 is about 1839.6043052787. The cubic root of 3384144 is about 150.1353445090.

Adding to 3384144 its reverse (4414833), we get a palindrome (7798977).

The spelling of 3384144 in words is "three million, three hundred eighty-four thousand, one hundred forty-four".