382032000 has 384 divisors, whose sum is σ = 1572105600. Its totient is φ = 87091200.

The previous prime is 382031999. The next prime is 382032011. The reversal of 382032000 is 230283.

It is a tau number, because it is divible by the number of its divisors (384).

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

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 47 ways as a sum of consecutive naturals, for example, 1007811 + ... + 1008189.

It is an arithmetic number, because the mean of its divisors is an integer number (4094025).

Almost surely, 2^382032000 is an apocalyptic number.

382032000 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 382032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786052800).

382032000 is an abundant number, since it is smaller than the sum of its proper divisors (1190073600).

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

382032000 is a wasteful number, since it uses less digits than its factorization.

382032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 396 counting only the distinct ones).

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

The square root of 382032000 is about 19545.6388997648. The cubic root of 382032000 is about 725.6044107648.

Adding to 382032000 its reverse (230283), we get a palindrome (382262283).

The spelling of 382032000 in words is "three hundred eighty-two million, thirty-two thousand".