384100 has 36 divisors (see below), whose sum is σ = 874944. Its totient is φ = 146080.

The previous prime is 384089. The next prime is 384107. The reversal of 384100 is 1483.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2217 + ... + 2383.

It is an arithmetic number, because the mean of its divisors is an integer number (24304).

2³⁸⁴¹⁰⁰ 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 384100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437472).

384100 is an abundant number, since it is smaller than the sum of its proper divisors (490844).

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

384100 is a wasteful number, since it uses less digits than its factorization.

384100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 384100 is about 619.7580172938. The cubic root of 384100 is about 72.6911326122.

Adding to 384100 its reverse (1483), we get a palindrome (385583).

It can be divided in two parts, 384 and 100, that added together give a palindrome (484).

The spelling of 384100 in words is "three hundred eighty-four thousand, one hundred".