34516416 has 112 divisors (see below), whose sum is σ = 101681280. Its totient is φ = 10245120.

The previous prime is 34516403. The next prime is 34516421. The reversal of 34516416 is 61461543.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124470 + ... + 124746.

Almost surely, 2^34516416 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 34516416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50840640).

34516416 is an abundant number, since it is smaller than the sum of its proper divisors (67164864).

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

34516416 is a wasteful number, since it uses less digits than its factorization.

34516416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 352 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 34516416 is about 5875.0673187632. The cubic root of 34516416 is about 325.5931291022.

Adding to 34516416 its reverse (61461543), we get a palindrome (95977959).

It can be divided in two parts, 345 and 16416, that added together give a palindrome (16761).

The spelling of 34516416 in words is "thirty-four million, five hundred sixteen thousand, four hundred sixteen".