34042432 has 56 divisors (see below), whose sum is σ = 72749664. Its totient is φ = 15747072.

The previous prime is 34042417. The next prime is 34042439. The reversal of 34042432 is 23424043.

It is not an unprimeable number, because it can be changed into a prime (34042439) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72663 + ... + 73129.

Almost surely, 2^34042432 is an apocalyptic number.

34042432 is a gapful number since it is divisible by the number (32) 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 34042432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36374832).

34042432 is an abundant number, since it is smaller than the sum of its proper divisors (38707232).

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

34042432 is a wasteful number, since it uses less digits than its factorization.

34042432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 34042432 is about 5834.5892743191. The cubic root of 34042432 is about 324.0958919541.

Adding to 34042432 its reverse (23424043), we get a palindrome (57466475).

The spelling of 34042432 in words is "thirty-four million, forty-two thousand, four hundred thirty-two".