384120000 has 420 divisors, whose sum is σ = 1516370856. Its totient is φ = 92160000.

The previous prime is 384119963. The next prime is 384120001. The reversal of 384120000 is 21483.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (384120001) 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 59 ways as a sum of consecutive naturals, for example, 3959952 + ... + 3960048.

Almost surely, 2^384120000 is an apocalyptic number.

384120000 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 384120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758185428).

384120000 is an abundant number, since it is smaller than the sum of its proper divisors (1132250856).

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

384120000 is a wasteful number, since it uses less digits than its factorization.

384120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 384120000 is about 19598.9795652733. The cubic root of 384120000 is about 726.9239426055.

Adding to 384120000 its reverse (21483), we get a palindrome (384141483).

The spelling of 384120000 in words is "three hundred eighty-four million, one hundred twenty thousand".