382118400 has 360 divisors, whose sum is σ = 1424801664. Its totient is φ = 97689600.

The previous prime is 382118383. The next prime is 382118417. The reversal of 382118400 is 4811283.

It is an interprime number because it is at equal distance from previous prime (382118383) and next prime (382118417).

It is a tau number, because it is divible by the number of its divisors (360).

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 35 ways as a sum of consecutive naturals, for example, 3571147 + ... + 3571253.

Almost surely, 2^382118400 is an apocalyptic number.

382118400 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 382118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712400832).

382118400 is an abundant number, since it is smaller than the sum of its proper divisors (1042683264).

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

382118400 is a wasteful number, since it uses less digits than its factorization.

382118400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 382118400 is about 19547.8489865253. The cubic root of 382118400 is about 725.6591073134.

Adding to 382118400 its reverse (4811283), we get a palindrome (386929683).

The spelling of 382118400 in words is "three hundred eighty-two million, one hundred eighteen thousand, four hundred".