384265316736 has 192 divisors, whose sum is σ = 1310535233280. Its totient is φ = 109790028288.

The previous prime is 384265316719. The next prime is 384265316761. The reversal of 384265316736 is 637613562483.

384265316736 is a `hidden beast` number, since 3 + 8 + 42 + 6 + 531 + 67 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 664716 + ... + 1100171.

It is an arithmetic number, because the mean of its divisors is an integer number (6825704340).

Almost surely, 2^384265316736 is an apocalyptic number.

384265316736 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

384265316736 is an abundant number, since it is smaller than the sum of its proper divisors (926269916544).

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

384265316736 is an equidigital number, since it uses as much as digits as its factorization.

384265316736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764923 (or 1764899 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The spelling of 384265316736 in words is "three hundred eighty-four billion, two hundred sixty-five million, three hundred sixteen thousand, seven hundred thirty-six".