384748032 has 80 divisors (see below), whose sum is σ = 1035014112. Its totient is φ = 126996480.

The previous prime is 384748031. The next prime is 384748061. The reversal of 384748032 is 230847483.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (384748031) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 163182 + ... + 165522.

Almost surely, 2^384748032 is an apocalyptic number.

384748032 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 384748032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517507056).

384748032 is an abundant number, since it is smaller than the sum of its proper divisors (650266080).

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

384748032 is a wasteful number, since it uses less digits than its factorization.

384748032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2469 (or 2453 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 384748032 is about 19614.9950802951. The cubic root of 384748032 is about 727.3198977890.

The spelling of 384748032 in words is "three hundred eighty-four million, seven hundred forty-eight thousand, thirty-two".