384042384 has 300 divisors, whose sum is σ = 1277140480. Its totient is φ = 111196800.

The previous prime is 384042343. The next prime is 384042391. The reversal of 384042384 is 483240483.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4861257 + ... + 4861335.

Almost surely, 2^384042384 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 384042384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638570240).

384042384 is an abundant number, since it is smaller than the sum of its proper divisors (893098096).

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

384042384 is a wasteful number, since it uses less digits than its factorization.

384042384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 384042384 is about 19596.9993621473. Note that the first 3 decimals coincide. The cubic root of 384042384 is about 726.8749781071.

The spelling of 384042384 in words is "three hundred eighty-four million, forty-two thousand, three hundred eighty-four".