42238368 has 192 divisors, whose sum is σ = 135475200. Its totient is φ = 12752640.

The previous prime is 42238367. The next prime is 42238381. The reversal of 42238368 is 86383224.

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 not an unprimeable number, because it can be changed into a prime (42238367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 508855 + ... + 508937.

It is an arithmetic number, because the mean of its divisors is an integer number (705600).

Almost surely, 2^42238368 is an apocalyptic number.

42238368 is a gapful number since it is divisible by the number (48) 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 42238368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67737600).

42238368 is an abundant number, since it is smaller than the sum of its proper divisors (93236832).

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

42238368 is a wasteful number, since it uses less digits than its factorization.

42238368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 138 counting only the distinct ones).

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

The square root of 42238368 is about 6499.1051691752. The cubic root of 42238368 is about 348.2590223773.

The spelling of 42238368 in words is "forty-two million, two hundred thirty-eight thousand, three hundred sixty-eight".