384672000 has 144 divisors (see below), whose sum is σ = 1278006912. Its totient is φ = 102553600.

The previous prime is 384671999. The next prime is 384672007. The reversal of 384672000 is 276483.

384672000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (384672007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93997 + ... + 98003.

It is an arithmetic number, because the mean of its divisors is an integer number (8875048).

Almost surely, 2^384672000 is an apocalyptic number.

384672000 is a gapful number since it is divisible by the number (30) 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 384672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639003456).

384672000 is an abundant number, since it is smaller than the sum of its proper divisors (893334912).

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

384672000 is an equidigital number, since it uses as much as digits as its factorization.

384672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4041 (or 4017 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 384672000 is about 19613.0568754593. The cubic root of 384672000 is about 727.2719848477.

The spelling of 384672000 in words is "three hundred eighty-four million, six hundred seventy-two thousand".