384000528384 has 520 divisors, whose sum is σ = 1259456285472. Its totient is φ = 116095057920.

The previous prime is 384000528349. The next prime is 384000528391. The reversal of 384000528384 is 483825000483.

384000528384 is a `hidden beast` number, since 3 + 8 + 40 + 0 + 0 + 528 + 3 + 84 = 666.

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, 886837032 + ... + 886837464.

Almost surely, 2^384000528384 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 384000528384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629728142736).

384000528384 is an abundant number, since it is smaller than the sum of its proper divisors (875455757088).

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

384000528384 is an frugal number, since it uses more digits than its factorization.

384000528384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 384000528384 in words is "three hundred eighty-four billion, five hundred twenty-eight thousand, three hundred eighty-four".