42348800 has 108 divisors (see below), whose sum is σ = 113104740. Its totient is φ = 15605760.

The previous prime is 42348799. The next prime is 42348809. The reversal of 42348800 is 884324.

It can be written as a sum of positive squares in 6 ways, for example, as 1183744 + 41165056 = 1088^2 + 6416^2 .

It is a super-2 number, since 2×42348800² = 3586841722880000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42348809) 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 11 ways as a sum of consecutive naturals, for example, 82946 + ... + 83454.

Almost surely, 2^42348800 is an apocalyptic number.

42348800 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 42348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56552370).

42348800 is an abundant number, since it is smaller than the sum of its proper divisors (70755940).

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

42348800 is a wasteful number, since it uses less digits than its factorization.

42348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 42348800 is about 6507.5955621105. The cubic root of 42348800 is about 348.5622654071.

The spelling of 42348800 in words is "forty-two million, three hundred forty-eight thousand, eight hundred".