388120 has 32 divisors (see below), whose sum is σ = 904320. Its totient is φ = 149760.

The previous prime is 388117. The next prime is 388133. The reversal of 388120 is 21883.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 388091 and 388100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1084 + ... + 1396.

It is an arithmetic number, because the mean of its divisors is an integer number (28260).

2³⁸⁸¹²⁰ 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 388120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452160).

388120 is an abundant number, since it is smaller than the sum of its proper divisors (516200).

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

388120 is a wasteful number, since it uses less digits than its factorization.

388120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 388120 is about 622.9927768442. The cubic root of 388120 is about 72.9438487320.

The spelling of 388120 in words is "three hundred eighty-eight thousand, one hundred twenty".