384000032 has 72 divisors (see below), whose sum is σ = 859595436. Its totient is φ = 167837184.

The previous prime is 384000031. The next prime is 384000037. The reversal of 384000032 is 230000483.

It can be written as a sum of positive squares in 2 ways, for example, as 363893776 + 20106256 = 19076^2 + 4484^2 .

It is a junction number, because it is equal to n+sod(n) for n = 383999968 and 384000013.

It is not an unprimeable number, because it can be changed into a prime (384000031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148898 + ... + 151454.

Almost surely, 2^384000032 is an apocalyptic number.

384000032 is a gapful number since it is divisible by the number (32) 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 384000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429797718).

384000032 is an abundant number, since it is smaller than the sum of its proper divisors (475595404).

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

384000032 is a wasteful number, since it uses less digits than its factorization.

384000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2618 (or 2591 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 384000032 is about 19595.9187587620. The cubic root of 384000032 is about 726.8482573231.

The spelling of 384000032 in words is "three hundred eighty-four million, thirty-two", and thus it is an aban number.