388100 has 18 divisors (see below), whose sum is σ = 842394. Its totient is φ = 155200.

The previous prime is 388099. The next prime is 388109. The reversal of 388100 is 1883.

It can be written as a sum of positive squares in 3 ways, for example, as 37636 + 350464 = 194^2 + 592^2 .

It is a super-2 number, since 2×388100² = 301243220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1841 + ... + 2040.

2³⁸⁸¹⁰⁰ is an apocalyptic number.

It is an amenable number.

388100 is an abundant number, since it is smaller than the sum of its proper divisors (454294).

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

388100 is a wasteful number, since it uses less digits than its factorization.

388100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3895 (or 3888 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 388100 is about 622.9767250869. The cubic root of 388100 is about 72.9425957672.

Adding to 388100 its reverse (1883), we get a palindrome (389983).

The spelling of 388100 in words is "three hundred eighty-eight thousand, one hundred".