382135600 has 240 divisors, whose sum is σ = 1206708480. Its totient is φ = 112665600.

The previous prime is 382135577. The next prime is 382135609. The reversal of 382135600 is 6531283.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (382135609) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 584874 + ... + 585526.

It is an arithmetic number, because the mean of its divisors is an integer number (5027952).

Almost surely, 2^382135600 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 382135600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603354240).

382135600 is an abundant number, since it is smaller than the sum of its proper divisors (824572880).

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

382135600 is a wasteful number, since it uses less digits than its factorization.

382135600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 382135600 is about 19548.2889276786. The cubic root of 382135600 is about 725.6699949941.

382135600 divided by its sum of digits (28) gives a triangular number (13647700 = T₅₂₂₄).

Adding to 382135600 its reverse (6531283), we get a palindrome (388666883).

The spelling of 382135600 in words is "three hundred eighty-two million, one hundred thirty-five thousand, six hundred".