42384000 has 128 divisors (see below), whose sum is σ = 140662080. Its totient is φ = 11289600.

The previous prime is 42383987. The next prime is 42384031. The reversal of 42384000 is 48324.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47559 + ... + 48441.

Almost surely, 2^42384000 is an apocalyptic number.

42384000 is a gapful number since it is divisible by the number (40) 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 42384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70331040).

42384000 is an abundant number, since it is smaller than the sum of its proper divisors (98278080).

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

42384000 is an equidigital number, since it uses as much as digits as its factorization.

42384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 42384000 is about 6510.2995322796. The cubic root of 42384000 is about 348.6588127623.

The spelling of 42384000 in words is "forty-two million, three hundred eighty-four thousand".