300384000000 has 1008 divisors, whose sum is σ = 1247679342000. Its totient is φ = 68198400000.

The previous prime is 300383999959. The next prime is 300384000011. The reversal of 300384000000 is 483003.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable 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 83 ways as a sum of consecutive naturals, for example, 2015999926 + ... + 2016000074.

It is an arithmetic number, because the mean of its divisors is an integer number (1237777125).

Almost surely, 2^300384000000 is an apocalyptic number.

300384000000 is a gapful number since it is divisible by the number (30) 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 300384000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623839671000).

300384000000 is an abundant number, since it is smaller than the sum of its proper divisors (947295342000).

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

300384000000 is an frugal number, since it uses more digits than its factorization.

300384000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 300384000000 its reverse (483003), we get a palindrome (300384483003).

The spelling of 300384000000 in words is "three hundred billion, three hundred eighty-four million", and thus it is an aban number.