388368 has 80 divisors (see below), whose sum is σ = 1190400. Its totient is φ = 120960.

The previous prime is 388363. The next prime is 388369. The reversal of 388368 is 863883.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (388363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12513 + ... + 12543.

It is an arithmetic number, because the mean of its divisors is an integer number (14880).

2³⁸⁸³⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 388368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595200).

388368 is an abundant number, since it is smaller than the sum of its proper divisors (802032).

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

388368 is a wasteful number, since it uses less digits than its factorization.

388368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 65 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 388368 is about 623.1917842847. The cubic root of 388368 is about 72.9593819200.

The spelling of 388368 in words is "three hundred eighty-eight thousand, three hundred sixty-eight".