382347000 has 576 divisors, whose sum is σ = 1637906400. Its totient is φ = 82252800.

The previous prime is 382346989. The next prime is 382347019. The reversal of 382347000 is 743283.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

382347000 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22490992 + ... + 22491008.

Almost surely, 2^382347000 is an apocalyptic number.

382347000 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 382347000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818953200).

382347000 is an abundant number, since it is smaller than the sum of its proper divisors (1255559400).

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

382347000 is a wasteful number, since it uses less digits than its factorization.

382347000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 382347000 is about 19553.6953029344. The cubic root of 382347000 is about 725.8037855099.

The spelling of 382347000 in words is "three hundred eighty-two million, three hundred forty-seven thousand".