384546042 has 56 divisors (see below), whose sum is σ = 876922644. Its totient is φ = 126391104.

The previous prime is 384546037. The next prime is 384546047. The reversal of 384546042 is 240645483.

384546042 is a `hidden beast` number, since 3 + 8 + 45 + 4 + 604 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (384546037) and next prime (384546047).

It can be written as a sum of positive squares in 2 ways, for example, as 340070481 + 44475561 = 18441^2 + 6669^2 .

It is a junction number, because it is equal to n+sod(n) for n = 384545988 and 384546006.

It is not an unprimeable number, because it can be changed into a prime (384546047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 104628 + ... + 108240.

Almost surely, 2^384546042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384546042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438461322).

384546042 is an abundant number, since it is smaller than the sum of its proper divisors (492376602).

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

384546042 is an equidigital number, since it uses as much as digits as its factorization.

384546042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3706 (or 3691 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 384546042 is about 19609.8455373825. The cubic root of 384546042 is about 727.1925962387.

The spelling of 384546042 in words is "three hundred eighty-four million, five hundred forty-six thousand, forty-two".