384356 has 36 divisors (see below), whose sum is σ = 818748. Its totient is φ = 157248.

The previous prime is 384343. The next prime is 384359. The reversal of 384356 is 653483.

384356 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

384356 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 313600 + 70756 = 560^2 + 266^2 .

Its product of digits (8640) is a multiple of the sum of its prime factors (108).

It is not an unprimeable number, because it can be changed into a prime (384359) by changing a digit.

384356 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7226 + ... + 7278.

It is an arithmetic number, because the mean of its divisors is an integer number (22743).

2³⁸⁴³⁵⁶ 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 384356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409374).

384356 is an abundant number, since it is smaller than the sum of its proper divisors (434392).

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

384356 is a wasteful number, since it uses less digits than its factorization.

384356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 99 counting only the distinct ones).

The product of its digits is 8640, while the sum is 29.

The square root of 384356 is about 619.9645151136. The cubic root of 384356 is about 72.7072784051.

The spelling of 384356 in words is "three hundred eighty-four thousand, three hundred fifty-six".