384322000 has 40 divisors (see below), whose sum is σ = 929295432. Its totient is φ = 153728000.

The previous prime is 384321989. The next prime is 384322013. The reversal of 384322000 is 223483.

384322000 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 4 ways, for example, as 5184 + 384316816 = 72^2 + 19604^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94081 + ... + 98080.

Almost surely, 2^384322000 is an apocalyptic number.

It is an amenable number.

384322000 is an abundant number, since it is smaller than the sum of its proper divisors (544973432).

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

384322000 is a wasteful number, since it uses less digits than its factorization.

384322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192184 (or 192168 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 384322000 is about 19604.1322174688. The cubic root of 384322000 is about 727.0513445495.

Adding to 384322000 its reverse (223483), we get a palindrome (384545483).

The spelling of 384322000 in words is "three hundred eighty-four million, three hundred twenty-two thousand".