384948018 has 288 divisors, whose sum is σ = 1167505920. Its totient is φ = 93078720.

The previous prime is 384947993. The next prime is 384948029. The reversal of 384948018 is 810849483.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12417663 + ... + 12417693.

It is an arithmetic number, because the mean of its divisors is an integer number (4053840).

Almost surely, 2^384948018 is an apocalyptic number.

384948018 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 384948018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583752960).

384948018 is an abundant number, since it is smaller than the sum of its proper divisors (782557902).

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

384948018 is a wasteful number, since it uses less digits than its factorization.

384948018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 384948018 is about 19620.0922016182. The cubic root of 384948018 is about 727.4458924580.

The spelling of 384948018 in words is "three hundred eighty-four million, nine hundred forty-eight thousand, eighteen".