34516944 has 180 divisors, whose sum is σ = 121776928. Its totient is φ = 8933760.

The previous prime is 34516913. The next prime is 34516973. The reversal of 34516944 is 44961543.

34516944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34516899 and 34516908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 121827 + ... + 122109.

Almost surely, 2^34516944 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 34516944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60888464).

34516944 is an abundant number, since it is smaller than the sum of its proper divisors (87259984).

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

34516944 is a wasteful number, since it uses less digits than its factorization.

34516944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 306 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 34516944 is about 5875.1122542467. The cubic root of 34516944 is about 325.5947893006.

The spelling of 34516944 in words is "thirty-four million, five hundred sixteen thousand, nine hundred forty-four".