382312224 has 240 divisors, whose sum is σ = 1353844800. Its totient is φ = 103389696.

The previous prime is 382312223. The next prime is 382312237. The reversal of 382312224 is 422213283.

382312224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 (382312223) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 344182 + ... + 345290.

It is an arithmetic number, because the mean of its divisors is an integer number (5641020).

Almost surely, 2^382312224 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 382312224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676922400).

382312224 is an abundant number, since it is smaller than the sum of its proper divisors (971532576).

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

382312224 is a wasteful number, since it uses less digits than its factorization.

382312224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1140 counting only the distinct ones).

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

The square root of 382312224 is about 19552.8060390318. The cubic root of 382312224 is about 725.7817799166.

The spelling of 382312224 in words is "three hundred eighty-two million, three hundred twelve thousand, two hundred twenty-four".