388352 has 36 divisors (see below), whose sum is σ = 815556. Its totient is φ = 184320.

The previous prime is 388351. The next prime is 388363. The reversal of 388352 is 253883.

388352 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 173056 + 215296 = 416^2 + 464^2 .

Its product of digits (5760) is a multiple of the sum of its prime divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388351) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9452 + ... + 9492.

2³⁸⁸³⁵² is an apocalyptic number.

388352 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 388352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407778).

388352 is an abundant number, since it is smaller than the sum of its proper divisors (427204).

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

388352 is an equidigital number, since it uses as much as digits as its factorization.

388352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 80 counting only the distinct ones).

The product of its digits is 5760, while the sum is 29.

The square root of 388352 is about 623.1789470128. The cubic root of 388352 is about 72.9583799784.

The spelling of 388352 in words is "three hundred eighty-eight thousand, three hundred fifty-two".