384321280000 has 480 divisors, whose sum is σ = 1117577260800. Its totient is φ = 129355776000.

The previous prime is 384321279983. The next prime is 384321280019. The reversal of 384321280000 is 82123483.

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 39 ways as a sum of consecutive naturals, for example, 528639637 + ... + 528640363.

It is an arithmetic number, because the mean of its divisors is an integer number (2328285960).

Almost surely, 2^384321280000 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 384321280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558788630400).

384321280000 is an abundant number, since it is smaller than the sum of its proper divisors (733255980800).

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

384321280000 is an frugal number, since it uses more digits than its factorization.

384321280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The spelling of 384321280000 in words is "three hundred eighty-four billion, three hundred twenty-one million, two hundred eighty thousand".