384006042 has 96 divisors (see below), whose sum is σ = 1003017600. Its totient is φ = 108573696.

The previous prime is 384005989. The next prime is 384006079. The reversal of 384006042 is 240600483.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 384005997 and 384006015.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271834 + ... + 273242.

It is an arithmetic number, because the mean of its divisors is an integer number (10448100).

Almost surely, 2^384006042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384006042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501508800).

384006042 is an abundant number, since it is smaller than the sum of its proper divisors (619011558).

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

384006042 is a wasteful number, since it uses less digits than its factorization.

384006042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1537 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 384006042 is about 19596.0721064197. The cubic root of 384006042 is about 726.8520492804.

The spelling of 384006042 in words is "three hundred eighty-four million, six thousand, forty-two".