384842016000 has 1440 divisors, whose sum is σ = 1581575643648. Its totient is φ = 92714803200.

The previous prime is 384842015977. The next prime is 384842016017. The reversal of 384842016000 is 610248483.

384842016000 is a `hidden beast` number, since 3 + 8 + 4 + 8 + 42 + 0 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8188127977 + ... + 8188128023.

Almost surely, 2^384842016000 is an apocalyptic number.

384842016000 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 384842016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790787821824).

384842016000 is an abundant number, since it is smaller than the sum of its proper divisors (1196733627648).

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

384842016000 is an frugal number, since it uses more digits than its factorization.

384842016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 384842016000 in words is "three hundred eighty-four billion, eight hundred forty-two million, sixteen thousand".