382065984000 has 1120 divisors, whose sum is σ = 1507072469760. Its totient is φ = 96297984000.

The previous prime is 382065983993. The next prime is 382065984031. The reversal of 382065984000 is 489560283.

382065984000 is a `hidden beast` number, since 38 + 20 + 6 + 598 + 4 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×382065984000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 886463785 + ... + 886464215.

Almost surely, 2^382065984000 is an apocalyptic number.

382065984000 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 382065984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753536234880).

382065984000 is an abundant number, since it is smaller than the sum of its proper divisors (1125006485760).

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

382065984000 is an frugal number, since it uses more digits than its factorization.

382065984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

It can be divided in two parts, 38206 and 5984000, that added together give a palindrome (6022206).

The spelling of 382065984000 in words is "three hundred eighty-two billion, sixty-five million, nine hundred eighty-four thousand".