382746336 has 192 divisors, whose sum is σ = 1248952320. Its totient is φ = 100154880.

The previous prime is 382746323. The next prime is 382746407. The reversal of 382746336 is 633647283.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 395325 + ... + 396291.

It is an arithmetic number, because the mean of its divisors is an integer number (6504960).

Almost surely, 2^382746336 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 382746336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624476160).

382746336 is an abundant number, since it is smaller than the sum of its proper divisors (866205984).

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

382746336 is a wasteful number, since it uses less digits than its factorization.

382746336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1029 counting only the distinct ones).

The product of its digits is 435456, while the sum is 42.

The square root of 382746336 is about 19563.9039048959. The cubic root of 382746336 is about 726.0563821764.

The spelling of 382746336 in words is "three hundred eighty-two million, seven hundred forty-six thousand, three hundred thirty-six".