384010000 has 100 divisors (see below), whose sum is σ = 1014537744. Its totient is φ = 139600000.

The previous prime is 384009959. The next prime is 384010019. The reversal of 384010000 is 10483.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

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 19 ways as a sum of consecutive naturals, for example, 108255 + ... + 111745.

Almost surely, 2^384010000 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 384010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507268872).

384010000 is an abundant number, since it is smaller than the sum of its proper divisors (630527744).

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

384010000 is a wasteful number, since it uses less digits than its factorization.

384010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3530 (or 3509 counting only the distinct ones).

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

The square root of 384010000 is about 19596.1730957858. The cubic root of 384010000 is about 726.8545465246.

Adding to 384010000 its reverse (10483), we get a palindrome (384020483).

The spelling of 384010000 in words is "three hundred eighty-four million, ten thousand".