388008 has 48 divisors (see below), whose sum is σ = 1116180. Its totient is φ = 121344.

The previous prime is 387977. The next prime is 388009. The reversal of 388008 is 800883.

It can be written as a sum of positive squares in 2 ways, for example, as 381924 + 6084 = 618^2 + 78^2 .

It is not an unprimeable number, because it can be changed into a prime (388009) by changing a digit.

388008 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 11 ways as a sum of consecutive naturals, for example, 1066 + ... + 1382.

2³⁸⁸⁰⁰⁸ 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 388008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558090).

388008 is an abundant number, since it is smaller than the sum of its proper divisors (728172).

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

388008 is a wasteful number, since it uses less digits than its factorization.

388008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 388008 is about 622.9028816758. The cubic root of 388008 is about 72.9368315749.

The spelling of 388008 in words is "three hundred eighty-eight thousand, eight".