42380688 has 120 divisors (see below), whose sum is σ = 131068992. Its totient is φ = 11757312.

The previous prime is 42380669. The next prime is 42380719. The reversal of 42380688 is 88608324.

It is a super-2 number, since 2×42380688² = 3592245430706688, which contains 22 as substring.

It is a nialpdrome in base 9.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86781 + ... + 87267.

Almost surely, 2^42380688 is an apocalyptic number.

42380688 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 42380688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65534496).

42380688 is an abundant number, since it is smaller than the sum of its proper divisors (88688304).

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

42380688 is a wasteful number, since it uses less digits than its factorization.

42380688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 42380688 is about 6510.0451611337. The cubic root of 42380688 is about 348.6497308126.

The spelling of 42380688 in words is "forty-two million, three hundred eighty thousand, six hundred eighty-eight".