42386784 has 144 divisors (see below), whose sum is σ = 126690480. Its totient is φ = 12390400.

The previous prime is 42386783. The next prime is 42386789. The reversal of 42386784 is 48768324.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42386783) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 476212 + ... + 476300.

It is an arithmetic number, because the mean of its divisors is an integer number (879795).

Almost surely, 2^42386784 is an apocalyptic number.

42386784 is a gapful number since it is divisible by the number (44) 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 42386784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63345240).

42386784 is an abundant number, since it is smaller than the sum of its proper divisors (84303696).

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

42386784 is a wasteful number, since it uses less digits than its factorization.

42386784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 146 counting only the distinct ones).

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

The square root of 42386784 is about 6510.5133438155. The cubic root of 42386784 is about 348.6664464989. Note that the first 3 decimals are identical.

The spelling of 42386784 in words is "forty-two million, three hundred eighty-six thousand, seven hundred eighty-four".