42334600 has 96 divisors (see below), whose sum is σ = 122760000. Its totient is φ = 13190400.

The previous prime is 42334571. The next prime is 42334601. The reversal of 42334600 is 643324.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (42334601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14026 + ... + 16774.

It is an arithmetic number, because the mean of its divisors is an integer number (1278750).

Almost surely, 2^42334600 is an apocalyptic number.

42334600 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 42334600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61380000).

42334600 is an abundant number, since it is smaller than the sum of its proper divisors (80425400).

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

42334600 is a wasteful number, since it uses less digits than its factorization.

42334600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2783 (or 2774 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 42334600 is about 6506.5044378683. The cubic root of 42334600 is about 348.5233021820.

Adding to 42334600 its reverse (643324), we get a palindrome (42977924).

The spelling of 42334600 in words is "forty-two million, three hundred thirty-four thousand, six hundred".