34112416 has 48 divisors (see below), whose sum is σ = 74045664. Its totient is φ = 15369984.

The previous prime is 34112413. The next prime is 34112417. The reversal of 34112416 is 61421143.

It is not an unprimeable number, because it can be changed into a prime (34112411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16935 + ... + 18841.

It is an arithmetic number, because the mean of its divisors is an integer number (1542618).

Almost surely, 2^34112416 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 34112416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37022832).

34112416 is an abundant number, since it is smaller than the sum of its proper divisors (39933248).

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

34112416 is a wasteful number, since it uses less digits than its factorization.

34112416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973 (or 1965 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

The square root of 34112416 is about 5840.5835324906. The cubic root of 34112416 is about 324.3178306788.

Adding to 34112416 its reverse (61421143), we get a palindrome (95533559).

The spelling of 34112416 in words is "thirty-four million, one hundred twelve thousand, four hundred sixteen".