382944672000 has 1728 divisors, whose sum is σ = 1614252826368. Its totient is φ = 90326016000.

The previous prime is 382944671983. The next prime is 382944672017. The reversal of 382944672000 is 276449283.

382944672000 is a `hidden beast` number, since 3 + 82 + 94 + 467 + 20 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (382944671983) and next prime (382944672017).

It is a tau number, because it is divible by the number of its divisors (1728).

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 (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10349855982 + ... + 10349856018.

Almost surely, 2^382944672000 is an apocalyptic number.

382944672000 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 382944672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807126413184).

382944672000 is an abundant number, since it is smaller than the sum of its proper divisors (1231308154368).

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

382944672000 is an frugal number, since it uses more digits than its factorization.

382944672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 382944672000 in words is "three hundred eighty-two billion, nine hundred forty-four million, six hundred seventy-two thousand".