3234144 has 48 divisors (see below), whose sum is σ = 8648640. Its totient is φ = 1057920.

The previous prime is 3234107. The next prime is 3234163. The reversal of 3234144 is 4414323.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3234144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5379 + ... + 5949.

It is an arithmetic number, because the mean of its divisors is an integer number (180180).

Almost surely, 2^3234144 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 3234144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4324320).

3234144 is an abundant number, since it is smaller than the sum of its proper divisors (5414496).

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

3234144 is a wasteful number, since it uses less digits than its factorization.

3234144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 635 counting only the distinct ones).

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

The square root of 3234144 is about 1798.3725976560. The cubic root of 3234144 is about 147.8835216969.

Adding to 3234144 its reverse (4414323), we get a palindrome (7648467).

It can be divided in two parts, 32341 and 44, that added together give a triangular number (32385 = T₂₅₄).

The spelling of 3234144 in words is "three million, two hundred thirty-four thousand, one hundred forty-four".