382667846400 has 756 divisors, whose sum is σ = 1623103583472. Its totient is φ = 87459471360.

The previous prime is 382667846381. The next prime is 382667846413. The reversal of 382667846400 is 4648766283.

It is a tau number, because it is divible by the number of its divisors (756).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 32653342 + ... + 32665058.

It is an arithmetic number, because the mean of its divisors is an integer number (2146962412).

Almost surely, 2^382667846400 is an apocalyptic number.

382667846400 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 382667846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811551791736).

382667846400 is an abundant number, since it is smaller than the sum of its proper divisors (1240435737072).

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

382667846400 is an equidigital number, since it uses as much as digits as its factorization.

382667846400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11768 (or 11734 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 382667846400 in words is "three hundred eighty-two billion, six hundred sixty-seven million, eight hundred forty-six thousand, four hundred".