382188240 has 480 divisors, whose sum is σ = 1608111360. Its totient is φ = 83026944.

The previous prime is 382188239. The next prime is 382188251. The reversal of 382188240 is 42881283.

It is a happy number.

382188240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 382188195 and 382188204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2434242 + ... + 2434398.

It is an arithmetic number, because the mean of its divisors is an integer number (3350232).

Almost surely, 2^382188240 is an apocalyptic number.

382188240 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 382188240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804055680).

382188240 is an abundant number, since it is smaller than the sum of its proper divisors (1225923120).

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

382188240 is a wasteful number, since it uses less digits than its factorization.

382188240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 382188240 is about 19549.6352907158. The cubic root of 382188240 is about 725.7033143312.

The spelling of 382188240 in words is "three hundred eighty-two million, one hundred eighty-eight thousand, two hundred forty".