34682944 has 28 divisors (see below), whose sum is σ = 69608700. Its totient is φ = 17143808.

The previous prime is 34682939. The next prime is 34682951. The reversal of 34682944 is 44928643.

It can be written as a sum of positive squares in 2 ways, for example, as 7225344 + 27457600 = 2688^2 + 5240^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34682897 and 34682906.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2652 + ... + 8740.

It is an arithmetic number, because the mean of its divisors is an integer number (2486025).

Almost surely, 2^34682944 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 34682944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34804350).

34682944 is an abundant number, since it is smaller than the sum of its proper divisors (34925756).

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

34682944 is an equidigital number, since it uses as much as digits as its factorization.

34682944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6190 (or 6180 counting only the distinct ones).

The product of its digits is 165888, while the sum is 40.

The square root of 34682944 is about 5889.2226991344. Note that the first 3 decimals coincide. The cubic root of 34682944 is about 326.1159084498.

The spelling of 34682944 in words is "thirty-four million, six hundred eighty-two thousand, nine hundred forty-four".