384018576 has 240 divisors, whose sum is σ = 1169448960. Its totient is φ = 108103680.

The previous prime is 384018563. The next prime is 384018589. The reversal of 384018576 is 675810483.

It is an interprime number because it is at equal distance from previous prime (384018563) and next prime (384018589).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 8170585 + ... + 8170631.

It is an arithmetic number, because the mean of its divisors is an integer number (4872704).

Almost surely, 2^384018576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384018576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584724480).

384018576 is an abundant number, since it is smaller than the sum of its proper divisors (785430384).

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

384018576 is a wasteful number, since it uses less digits than its factorization.

384018576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 384018576 is about 19596.3919127986. The cubic root of 384018576 is about 726.8599573717.

The spelling of 384018576 in words is "three hundred eighty-four million, eighteen thousand, five hundred seventy-six".