384231312200 has 108 divisors (see below), whose sum is σ = 911613570315. Its totient is φ = 150610328960.

The previous prime is 384231312161. The next prime is 384231312203. The reversal of 384231312200 is 2213132483.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 225338191204 + 158893120996 = 474698^2 + 398614^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=438310.

It is not an unprimeable number, because it can be changed into a prime (384231312203) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 464608187 + ... + 464609013.

Almost surely, 2^384231312200 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 384231312200

384231312200 is an abundant number, since it is smaller than the sum of its proper divisors (527382258115).

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

384231312200 is an frugal number, since it uses more digits than its factorization.

384231312200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 384231312200 its reverse (2213132483), we get a palindrome (386444444683).

The spelling of 384231312200 in words is "three hundred eighty-four billion, two hundred thirty-one million, three hundred twelve thousand, two hundred".