384335884800 has 960 divisors, whose sum is σ = 1633447833600. Its totient is φ = 86693068800.

The previous prime is 384335884727. The next prime is 384335884837. The reversal of 384335884800 is 8488533483.

384335884800 is a `hidden beast` number, since 3 + 8 + 433 + 58 + 84 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 191115795 + ... + 191117805.

It is an arithmetic number, because the mean of its divisors is an integer number (1701508160).

Almost surely, 2^384335884800 is an apocalyptic number.

384335884800 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 384335884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816723916800).

384335884800 is an abundant number, since it is smaller than the sum of its proper divisors (1249111948800).

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

384335884800 is a wasteful number, since it uses less digits than its factorization.

384335884800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2134 (or 2107 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 384335884800 in words is "three hundred eighty-four billion, three hundred thirty-five million, eight hundred eighty-four thousand, eight hundred".