384832000000 has 364 divisors, whose sum is σ = 1100651536480. Its totient is φ = 131788800000.

The previous prime is 384831999997. The next prime is 384832000039. The reversal of 384832000000 is 238483.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 384832000000 = 2880³ + 7120³ = 4600³ + 6600³.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 447999571 + ... + 448000429.

Almost surely, 2^384832000000 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 384832000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550325768240).

384832000000 is an abundant number, since it is smaller than the sum of its proper divisors (715819536480).

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

384832000000 is an frugal number, since it uses more digits than its factorization.

384832000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 384832000000 its reverse (238483), we get a palindrome (384832238483).

The spelling of 384832000000 in words is "three hundred eighty-four billion, eight hundred thirty-two million", and thus it is an aban number.