388032 has 56 divisors (see below), whose sum is σ = 1072896. Its totient is φ = 123648.

The previous prime is 388009. The next prime is 388051. The reversal of 388032 is 230883.

388032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 387993 and 388011.

It is a congruent number.

It is an unprimeable number.

388032 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 in 7 ways as a sum of consecutive naturals, for example, 8233 + ... + 8279.

2³⁸⁸⁰³² is an apocalyptic number.

388032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 388032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536448).

388032 is an abundant number, since it is smaller than the sum of its proper divisors (684864).

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

388032 is a wasteful number, since it uses less digits than its factorization.

388032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 388032 is about 622.9221460183. The cubic root of 388032 is about 72.9383353650.

The spelling of 388032 in words is "three hundred eighty-eight thousand, thirty-two".