382941644800 has 576 divisors, whose sum is σ = 1125370471680. Its totient is φ = 127401984000.

The previous prime is 382941644783. The next prime is 382941644807. The reversal of 382941644800 is 8446149283.

It is not an unprimeable number, because it can be changed into a prime (382941644807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1413068665 + ... + 1413068935.

It is an arithmetic number, because the mean of its divisors is an integer number (1953768180).

Almost surely, 2^382941644800 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 382941644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562685235840).

382941644800 is an abundant number, since it is smaller than the sum of its proper divisors (742428826880).

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

382941644800 is a wasteful number, since it uses less digits than its factorization.

382941644800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 49.

The spelling of 382941644800 in words is "three hundred eighty-two billion, nine hundred forty-one million, six hundred forty-four thousand, eight hundred".