42035800 has 48 divisors (see below), whose sum is σ = 99223560. Its totient is φ = 16558080.

The previous prime is 42035797. The next prime is 42035801. The reversal of 42035800 is 853024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42035801) 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, 11832 + ... + 14968.

Almost surely, 2^42035800 is an apocalyptic number.

42035800 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 42035800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49611780).

42035800 is an abundant number, since it is smaller than the sum of its proper divisors (57187760).

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

42035800 is a wasteful number, since it uses less digits than its factorization.

42035800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3220 (or 3211 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 42035800 is about 6483.5021400475. The cubic root of 42035800 is about 347.7013997373.

Adding to 42035800 its reverse (853024), we get a palindrome (42888824).

The spelling of 42035800 in words is "forty-two million, thirty-five thousand, eight hundred".