382018830336 has 1080 divisors, whose sum is σ = 1376922291472. Its totient is φ = 105106636800.

The previous prime is 382018830307. The next prime is 382018830341. The reversal of 382018830336 is 633038810283.

382018830336 is a `hidden beast` number, since 3 + 8 + 201 + 88 + 30 + 336 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 382018830291 and 382018830300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6262603746 + ... + 6262603806.

Almost surely, 2^382018830336 is an apocalyptic number.

382018830336 is a gapful number since it is divisible by the number (36) 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 382018830336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688461145736).

382018830336 is an abundant number, since it is smaller than the sum of its proper divisors (994903461136).

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

382018830336 is an equidigital number, since it uses as much as digits as its factorization.

382018830336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 382018830336 in words is "three hundred eighty-two billion, eighteen million, eight hundred thirty thousand, three hundred thirty-six".