384336 has 60 divisors (see below), whose sum is σ = 1146132. Its totient is φ = 119808.

The previous prime is 384331. The next prime is 384343. The reversal of 384336 is 633483.

384336 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 207936 + 176400 = 456^2 + 420^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384331) 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, 2370 + ... + 2526.

2³⁸⁴³³⁶ is an apocalyptic number.

384336 is a gapful number since it is divisible by the number (36) 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 384336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573066).

384336 is an abundant number, since it is smaller than the sum of its proper divisors (761796).

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

384336 is a wasteful number, since it uses less digits than its factorization.

384336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 179 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 384336 is about 619.9483849483. The cubic root of 384336 is about 72.7060172733.

The spelling of 384336 in words is "three hundred eighty-four thousand, three hundred thirty-six".