368382 has 32 divisors (see below), whose sum is σ = 864000. Its totient is φ = 104664.

The previous prime is 368369. The next prime is 368399. The reversal of 368382 is 283863.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 368382.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1969 + ... + 2147.

It is an arithmetic number, because the mean of its divisors is an integer number (27000).

2³⁶⁸³⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432000).

368382 is an abundant number, since it is smaller than the sum of its proper divisors (495618).

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

368382 is a wasteful number, since it uses less digits than its factorization.

368382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 191 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 368382 is about 606.9448080345. The cubic root of 368382 is about 71.6857445754.

The spelling of 368382 in words is "three hundred sixty-eight thousand, three hundred eighty-two".