34506432 has 112 divisors (see below), whose sum is σ = 106883200. Its totient is φ = 10886400.

The previous prime is 34506391. The next prime is 34506469. The reversal of 34506432 is 23460543.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 34506396 and 34506405.

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, 32307 + ... + 33357.

Almost surely, 2^34506432 is an apocalyptic number.

34506432 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 34506432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53441600).

34506432 is an abundant number, since it is smaller than the sum of its proper divisors (72376768).

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

34506432 is a wasteful number, since it uses less digits than its factorization.

34506432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 34506432 is about 5874.2175649188. The cubic root of 34506432 is about 325.5617330724.

Adding to 34506432 its reverse (23460543), we get a palindrome (57966975).

The spelling of 34506432 in words is "thirty-four million, five hundred six thousand, four hundred thirty-two".