34394944 has 56 divisors (see below), whose sum is σ = 73216008. Its totient is φ = 15974400.

The previous prime is 34394923. The next prime is 34394947. The reversal of 34394944 is 44949343.

It can be written as a sum of positive squares in 4 ways, for example, as 7354944 + 27040000 = 2712^2 + 5200^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34394897 and 34394906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34394947) 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, 109732 + ... + 110044.

Almost surely, 2^34394944 is an apocalyptic number.

34394944 is a gapful number since it is divisible by the number (34) 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 34394944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36608004).

34394944 is an abundant number, since it is smaller than the sum of its proper divisors (38821064).

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

34394944 is a wasteful number, since it uses less digits than its factorization.

34394944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 433 counting only the distinct ones).

The product of its digits is 186624, while the sum is 40.

The square root of 34394944 is about 5864.7202831849. The cubic root of 34394944 is about 325.2107319696.

The spelling of 34394944 in words is "thirty-four million, three hundred ninety-four thousand, nine hundred forty-four".