382613600 has 72 divisors (see below), whose sum is σ = 941142888. Its totient is φ = 151884800.

The previous prime is 382613591. The next prime is 382613603. The reversal of 382613600 is 6316283.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382613603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107855 + ... + 111345.

It is an arithmetic number, because the mean of its divisors is an integer number (13071429).

Almost surely, 2^382613600 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 382613600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470571444).

382613600 is an abundant number, since it is smaller than the sum of its proper divisors (558529288).

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

382613600 is a wasteful number, since it uses less digits than its factorization.

382613600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3648 (or 3635 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 382613600 is about 19560.5112407626. The cubic root of 382613600 is about 725.9724406258.

Adding to 382613600 its reverse (6316283), we get a palindrome (388929883).

The spelling of 382613600 in words is "three hundred eighty-two million, six hundred thirteen thousand, six hundred".