3233431344 has 160 divisors (see below), whose sum is σ = 9886867200. Its totient is φ = 897684480.

The previous prime is 3233431319. The next prime is 3233431349. The reversal of 3233431344 is 4431343323.

It is a super-3 number, since 3×3233431344³ (a number of 30 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3233431349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 952402 + ... + 955790.

It is an arithmetic number, because the mean of its divisors is an integer number (61792920).

Almost surely, 2^3233431344 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 3233431344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4943433600).

3233431344 is an abundant number, since it is smaller than the sum of its proper divisors (6653435856).

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

3233431344 is a wasteful number, since it uses less digits than its factorization.

3233431344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3563 (or 3557 counting only the distinct ones).

The product of its digits is 31104, while the sum is 30.

The square root of 3233431344 is about 56863.2688472972. The cubic root of 3233431344 is about 1478.7265866574.

Adding to 3233431344 its reverse (4431343323), we get a palindrome (7664774667).

The spelling of 3233431344 in words is "three billion, two hundred thirty-three million, four hundred thirty-one thousand, three hundred forty-four".