384681360000 has 640 divisors, whose sum is σ = 1489360752000. Its totient is φ = 87908352000.

The previous prime is 384681359969. The next prime is 384681360031. The reversal of 384681360000 is 63186483.

It is an interprime number because it is at equal distance from previous prime (384681359969) and next prime (384681360031).

It is a tau number, because it is divible by the number of its divisors (640).

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 79 ways as a sum of consecutive naturals, for example, 82317664 + ... + 82322336.

It is an arithmetic number, because the mean of its divisors is an integer number (2327126175).

Almost surely, 2^384681360000 is an apocalyptic number.

384681360000 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 384681360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744680376000).

384681360000 is an abundant number, since it is smaller than the sum of its proper divisors (1104679392000).

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

384681360000 is an frugal number, since it uses more digits than its factorization.

384681360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4731 (or 4690 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 384681360000 in words is "three hundred eighty-four billion, six hundred eighty-one million, three hundred sixty thousand".