382011200 has 84 divisors (see below), whose sum is σ = 972517740. Its totient is φ = 147517440.

The previous prime is 382011197. The next prime is 382011271. The reversal of 382011200 is 2110283.

It can be written as a sum of positive squares in 6 ways, for example, as 32171584 + 349839616 = 5672^2 + 18704^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42284 + ... + 50516.

Almost surely, 2^382011200 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 382011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486258870).

382011200 is an abundant number, since it is smaller than the sum of its proper divisors (590506540).

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

382011200 is a wasteful number, since it uses less digits than its factorization.

382011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8284 (or 8269 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 382011200 is about 19545.1068045176. The cubic root of 382011200 is about 725.5912418456.

Adding to 382011200 its reverse (2110283), we get a palindrome (384121483).

The spelling of 382011200 in words is "three hundred eighty-two million, eleven thousand, two hundred".