42768384 has 48 divisors (see below), whose sum is σ = 114037560. Its totient is φ = 14254080.

The previous prime is 42768377. The next prime is 42768391. The reversal of 42768384 is 48386724.

It is an interprime number because it is at equal distance from previous prime (42768377) and next prime (42768391).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2664 + ... + 9624.

Almost surely, 2^42768384 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 42768384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57018780).

42768384 is an abundant number, since it is smaller than the sum of its proper divisors (71269176).

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

42768384 is an equidigital number, since it uses as much as digits as its factorization.

42768384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6986 (or 6966 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 42768384 is about 6539.7541238184. The cubic root of 42768384 is about 349.7096476320.

The spelling of 42768384 in words is "forty-two million, seven hundred sixty-eight thousand, three hundred eighty-four".