382246368 has 192 divisors, whose sum is σ = 1207664640. Its totient is φ = 103564800.

The previous prime is 382246363. The next prime is 382246369. The reversal of 382246368 is 863642283.

It is a super-2 number, since 2×382246368² = 292224571698382848, which contains 22 as substring.

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 not an unprimeable number, because it can be changed into a prime (382246363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1228933 + ... + 1229243.

It is an arithmetic number, because the mean of its divisors is an integer number (6289920).

Almost surely, 2^382246368 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 382246368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603832320).

382246368 is an abundant number, since it is smaller than the sum of its proper divisors (825418272).

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

382246368 is a wasteful number, since it uses less digits than its factorization.

382246368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 413 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 382246368 is about 19551.1219115426. The cubic root of 382246368 is about 725.7401038322.

The spelling of 382246368 in words is "three hundred eighty-two million, two hundred forty-six thousand, three hundred sixty-eight".