388944 has 60 divisors (see below), whose sum is σ = 1133236. Its totient is φ = 124416.

The previous prime is 388937. The next prime is 388961. The reversal of 388944 is 449883.

388944 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 291600 + 97344 = 540^2 + 312^2 .

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 a junction number, because it is equal to n+sod(n) for n = 388899 and 388908.

It is a congruent number.

It is an unprimeable number.

388944 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, 5292 + ... + 5364.

2³⁸⁸⁹⁴⁴ 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 388944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566618).

388944 is an abundant number, since it is smaller than the sum of its proper divisors (744292).

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

388944 is a wasteful number, since it uses less digits than its factorization.

388944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 115 counting only the distinct ones).

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

The square root of 388944 is about 623.6537500889. The cubic root of 388944 is about 72.9954335043.

The spelling of 388944 in words is "three hundred eighty-eight thousand, nine hundred forty-four".