42434784 has 216 divisors, whose sum is σ = 146397888. Its totient is φ = 11612160.

The previous prime is 42434779. The next prime is 42434797. The reversal of 42434784 is 48743424.

It is a happy number.

It is a super-3 number, since 3×42434784³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 437424 + ... + 437520.

It is an arithmetic number, because the mean of its divisors is an integer number (677768).

Almost surely, 2^42434784 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 42434784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73198944).

42434784 is an abundant number, since it is smaller than the sum of its proper divisors (103963104).

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

42434784 is a wasteful number, since it uses less digits than its factorization.

42434784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 140 counting only the distinct ones).

The product of its digits is 86016, while the sum is 36.

The square root of 42434784 is about 6514.1986460347. The cubic root of 42434784 is about 348.7980101169.

The spelling of 42434784 in words is "forty-two million, four hundred thirty-four thousand, seven hundred eighty-four".