42338880 has 168 divisors, whose sum is σ = 148629624. Its totient is φ = 11059200.

The previous prime is 42338873. The next prime is 42338887. The reversal of 42338880 is 8883324.

42338880 = T₃₆₇ + T₃₆₈ + ... + T₆₇₁.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42338873) and next prime (42338887).

It can be written as a sum of positive squares in 4 ways, for example, as 968256 + 41370624 = 984^2 + 6432^2 .

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

It is not an unprimeable number, because it can be changed into a prime (42338887) 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 23 ways as a sum of consecutive naturals, for example, 175560 + ... + 175800.

Almost surely, 2^42338880 is an apocalyptic number.

42338880 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 42338880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74314812).

42338880 is an abundant number, since it is smaller than the sum of its proper divisors (106290744).

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

42338880 is a wasteful number, since it uses less digits than its factorization.

42338880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 42338880 is about 6506.8333311988. The cubic root of 42338880 is about 348.5350469445.

Subtracting from 42338880 its product of nonzero digits (36864), we obtain a square (42302016 = 6504²).

The spelling of 42338880 in words is "forty-two million, three hundred thirty-eight thousand, eight hundred eighty".