384318461808 has 240 divisors, whose sum is σ = 1155118255200. Its totient is φ = 123553382400.

The previous prime is 384318461789. The next prime is 384318461959. The reversal of 384318461808 is 808164813483.

384318461808 is a `hidden beast` number, since 3 + 8 + 4 + 3 + 18 + 4 + 618 + 0 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180514888 + ... + 180517016.

It is an arithmetic number, because the mean of its divisors is an integer number (4812992730).

Almost surely, 2^384318461808 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 384318461808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577559127600).

384318461808 is an abundant number, since it is smaller than the sum of its proper divisors (770799793392).

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

384318461808 is a wasteful number, since it uses less digits than its factorization.

384318461808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3782 (or 3764 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 384318461808 in words is "three hundred eighty-four billion, three hundred eighteen million, four hundred sixty-one thousand, eight hundred eight".