42336800 has 144 divisors (see below), whose sum is σ = 119804832. Its totient is φ = 14438400.

The previous prime is 42336761. The next prime is 42336809. The reversal of 42336800 is 863324.

It is a self number, because there is not a number n which added to its sum of digits gives 42336800.

It is not an unprimeable number, because it can be changed into a prime (42336809) 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, 149459 + ... + 149741.

It is an arithmetic number, because the mean of its divisors is an integer number (831978).

Almost surely, 2^42336800 is an apocalyptic number.

42336800 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 42336800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59902416).

42336800 is an abundant number, since it is smaller than the sum of its proper divisors (77468032).

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

42336800 is a wasteful number, since it uses less digits than its factorization.

42336800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 42336800 is about 6506.6734972642. The cubic root of 42336800 is about 348.5293393083.

The spelling of 42336800 in words is "forty-two million, three hundred thirty-six thousand, eight hundred".