368384 has 18 divisors (see below), whose sum is σ = 735840. Its totient is φ = 184064.

The previous prime is 368369. The next prime is 368399. The reversal of 368384 is 483863.

It is an interprime number because it is at equal distance from previous prime (368369) and next prime (368399).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 368384.

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 368384.

It is an unprimeable number.

368384 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 464 + ... + 975.

It is an arithmetic number, because the mean of its divisors is an integer number (40880).

2³⁶⁸³⁸⁴ is an apocalyptic number.

It is an amenable number.

368384 is a deficient number, since it is larger than the sum of its proper divisors (367456).

368384 is an equidigital number, since it uses as much as digits as its factorization.

368384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455 (or 1441 counting only the distinct ones).

The product of its digits is 13824, while the sum is 32.

The square root of 368384 is about 606.9464556285. The cubic root of 368384 is about 71.6858743060.

The spelling of 368384 in words is "three hundred sixty-eight thousand, three hundred eighty-four".