382003200 has 216 divisors, whose sum is σ = 1369736550. Its totient is φ = 101744640.

The previous prime is 382003187. The next prime is 382003201. The reversal of 382003200 is 2300283.

It can be written as a sum of positive squares in 3 ways, for example, as 295289856 + 86713344 = 17184^2 + 9312^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (382003201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 460386 + ... + 461214.

Almost surely, 2^382003200 is an apocalyptic number.

382003200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684868275).

382003200 is an abundant number, since it is smaller than the sum of its proper divisors (987733350).

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

382003200 is a wasteful number, since it uses less digits than its factorization.

382003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 382003200 is about 19544.9021486422. The cubic root of 382003200 is about 725.5861767494.

Adding to 382003200 its reverse (2300283), we get a palindrome (384303483).

The spelling of 382003200 in words is "three hundred eighty-two million, three thousand, two hundred".