384775993571328 has 960 divisors, whose sum is σ = 1265214453703200. Its totient is φ = 116009698590720.

The previous prime is 384775993571273. The next prime is 384775993571381. The reversal of 384775993571328 is 823175399577483.

384775993571328 is a `hidden beast` number, since 3 + 8 + 4 + 7 + 7 + 5 + 9 + 9 + 3 + 571 + 32 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7746778878 + ... + 7746828546.

Almost surely, 2^{384775993571328} 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 384775993571328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632607226851600).

384775993571328 is an abundant number, since it is smaller than the sum of its proper divisors (880438460131872).

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

384775993571328 is a wasteful number, since it uses less digits than its factorization.

384775993571328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49828 (or 49799 counting only the distinct ones).

The product of its digits is 9601804800, while the sum is 81.

The spelling of 384775993571328 in words is "three hundred eighty-four trillion, seven hundred seventy-five billion, nine hundred ninety-three million, five hundred seventy-one thousand, three hundred twenty-eight".