382741272576 has 480 divisors, whose sum is σ = 1296096001200. Its totient is φ = 111556362240.

The previous prime is 382741272547. The next prime is 382741272581. The reversal of 382741272576 is 675272147283.

It is a happy number.

382741272576 is a `hidden beast` number, since 3 + 8 + 2 + 7 + 41 + 27 + 2 + 576 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 40969666 + ... + 40979006.

Almost surely, 2^382741272576 is an apocalyptic number.

382741272576 is a gapful number since it is divisible by the number (36) 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 382741272576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648048000600).

382741272576 is an abundant number, since it is smaller than the sum of its proper divisors (913354728624).

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

382741272576 is a wasteful number, since it uses less digits than its factorization.

382741272576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9407 (or 9378 counting only the distinct ones).

The product of its digits is 7902720, while the sum is 54.

The spelling of 382741272576 in words is "three hundred eighty-two billion, seven hundred forty-one million, two hundred seventy-two thousand, five hundred seventy-six".