382344066720 has 1440 divisors, whose sum is σ = 1725863787648. Its totient is φ = 78008832000.

The previous prime is 382344066619. The next prime is 382344066733. The reversal of 382344066720 is 27660443283.

382344066720 is a `hidden beast` number, since 3 + 8 + 234 + 406 + 6 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 669604035 + ... + 669604605.

Almost surely, 2^382344066720 is an apocalyptic number.

382344066720 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 382344066720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862931893824).

382344066720 is an abundant number, since it is smaller than the sum of its proper divisors (1343519720928).

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

382344066720 is a wasteful number, since it uses less digits than its factorization.

382344066720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 382344066720 in words is "three hundred eighty-two billion, three hundred forty-four million, sixty-six thousand, seven hundred twenty".