42384384 has 220 divisors, whose sum is σ = 146630704. Its totient is φ = 11943936.

The previous prime is 42384371. The next prime is 42384389. The reversal of 42384384 is 48348324.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42384389) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 580572 + ... + 580644.

Almost surely, 2^42384384 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 42384384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73315352).

42384384 is an abundant number, since it is smaller than the sum of its proper divisors (104246320).

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

42384384 is an equidigital number, since it uses as much as digits as its factorization.

42384384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 85 counting only the distinct ones).

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

The square root of 42384384 is about 6510.3290239434. The cubic root of 42384384 is about 348.6598657113.

The spelling of 42384384 in words is "forty-two million, three hundred eighty-four thousand, three hundred eighty-four".