42834832 has 80 divisors (see below), whose sum is σ = 94493952. Its totient is φ = 18698240.

The previous prime is 42834829. The next prime is 42834851. The reversal of 42834832 is 23843824.

It is a super-3 number, since 3×42834832³ (a number of 24 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

Its product of digits (36864) is a multiple of the sum of its prime factors (256).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256413 + ... + 256579.

Almost surely, 2^42834832 is an apocalyptic number.

42834832 is the 5344-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42834832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47246976).

42834832 is an abundant number, since it is smaller than the sum of its proper divisors (51659120).

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

42834832 is a wasteful number, since it uses less digits than its factorization.

42834832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 250 counting only the distinct ones).

The product of its digits is 36864, while the sum is 34.

The square root of 42834832 is about 6544.8324653882. The cubic root of 42834832 is about 349.8906651687.

The spelling of 42834832 in words is "forty-two million, eight hundred thirty-four thousand, eight hundred thirty-two".