42434616 has 64 divisors (see below), whose sum is σ = 121881600. Its totient is φ = 12060288.

The previous prime is 42434611. The next prime is 42434621. The reversal of 42434616 is 61643424.

It is an interprime number because it is at equal distance from previous prime (42434611) and next prime (42434621).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42434611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37921 + ... + 39023.

It is an arithmetic number, because the mean of its divisors is an integer number (1904400).

Almost surely, 2^42434616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42434616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60940800).

42434616 is an abundant number, since it is smaller than the sum of its proper divisors (79446984).

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

42434616 is a wasteful number, since it uses less digits than its factorization.

42434616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1344 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 42434616 is about 6514.1857511127. The cubic root of 42434616 is about 348.7975498173.

The spelling of 42434616 in words is "forty-two million, four hundred thirty-four thousand, six hundred sixteen".