380384256000 has 1344 divisors, whose sum is σ = 1557983980800. Its totient is φ = 82368921600.

The previous prime is 380384255989. The next prime is 380384256013. The reversal of 380384256000 is 652483083.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a self number, because there is not a number n which added to its sum of digits gives 380384256000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20020223991 + ... + 20020224009.

Almost surely, 2^380384256000 is an apocalyptic number.

380384256000 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 380384256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778991990400).

380384256000 is an abundant number, since it is smaller than the sum of its proper divisors (1177599724800).

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

380384256000 is an frugal number, since it uses more digits than its factorization.

380384256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 380384256000 in words is "three hundred eighty billion, three hundred eighty-four million, two hundred fifty-six thousand".