384126084 has 144 divisors (see below), whose sum is σ = 1094786560. Its totient is φ = 116328960.

The previous prime is 384126079. The next prime is 384126161. The reversal of 384126084 is 480621483.

384126084 is a `hidden beast` number, since 3 + 8 + 41 + 2 + 608 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 967374 + ... + 967770.

Almost surely, 2^384126084 is an apocalyptic number.

384126084 is a gapful number since it is divisible by the number (34) 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 384126084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547393280).

384126084 is an abundant number, since it is smaller than the sum of its proper divisors (710660476).

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

384126084 is a wasteful number, since it uses less digits than its factorization.

384126084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 384126084 is about 19599.1347768211. The cubic root of 384126084 is about 726.9277804529.

The spelling of 384126084 in words is "three hundred eighty-four million, one hundred twenty-six thousand, eighty-four".