42341600 has 72 divisors (see below), whose sum is σ = 118148688. Its totient is φ = 14515200.

The previous prime is 42341599. The next prime is 42341603. The reversal of 42341600 is 614324.

It is a happy number.

It is a super-2 number, since 2×42341600² = 3585622181120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42341603) 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, 1820 + ... + 9380.

It is an arithmetic number, because the mean of its divisors is an integer number (1640954).

Almost surely, 2^42341600 is an apocalyptic number.

42341600 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 42341600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59074344).

42341600 is an abundant number, since it is smaller than the sum of its proper divisors (75807088).

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

42341600 is a wasteful number, since it uses less digits than its factorization.

42341600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7588 (or 7575 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 42341600 is about 6507.0423388818. The cubic root of 42341600 is about 348.5425104943.

Adding to 42341600 its reverse (614324), we get a palindrome (42955924).

The spelling of 42341600 in words is "forty-two million, three hundred forty-one thousand, six hundred".