42033600 has 336 divisors, whose sum is σ = 176377600. Its totient is φ = 9538560.

The previous prime is 42033587. The next prime is 42033601. The reversal of 42033600 is 633024.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42033601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 302331 + ... + 302469.

Almost surely, 2^42033600 is an apocalyptic number.

42033600 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 42033600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88188800).

42033600 is an abundant number, since it is smaller than the sum of its proper divisors (134344000).

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

42033600 is a wasteful number, since it uses less digits than its factorization.

42033600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 42033600 is about 6483.3324764352. The cubic root of 42033600 is about 347.6953338251.

Adding to 42033600 its reverse (633024), we get a palindrome (42666624).

The spelling of 42033600 in words is "forty-two million, thirty-three thousand, six hundred".