42288336 has 60 divisors (see below), whose sum is σ = 121562532. Its totient is φ = 13713408.

The previous prime is 42288331. The next prime is 42288349. The reversal of 42288336 is 63388224.

42288336 is a `hidden beast` number, since 42 + 288 + 336 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 40449600 + 1838736 = 6360^2 + 1356^2 .

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 self number, because there is not a number n which added to its sum of digits gives 42288336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42288331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1360 + ... + 9296.

Almost surely, 2^42288336 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 42288336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60781266).

42288336 is an abundant number, since it is smaller than the sum of its proper divisors (79274196).

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

42288336 is a wasteful number, since it uses less digits than its factorization.

42288336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7988 (or 7979 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 42288336 is about 6502.9482544458. The cubic root of 42288336 is about 348.3962984295.

It can be divided in two parts, 42288 and 336, that added together give a palindrome (42624).

The spelling of 42288336 in words is "forty-two million, two hundred eighty-eight thousand, three hundred thirty-six".