729984346 has 48 divisors (see below), whose sum is σ = 1401926400. Its totient is φ = 278800704.

The previous prime is 729984341. The next prime is 729984349. The reversal of 729984346 is 643489927.

It is a happy number.

729984346 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 729984293 and 729984302.

It is not an unprimeable number, because it can be changed into a prime (729984341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63295 + ... + 73933.

It is an arithmetic number, because the mean of its divisors is an integer number (29206800).

Almost surely, 2^729984346 is an apocalyptic number.

729984346 is a deficient number, since it is larger than the sum of its proper divisors (671942054).

729984346 is a wasteful number, since it uses less digits than its factorization.

729984346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10703 (or 10690 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 52.

The square root of 729984346 is about 27018.2224803927. Note that the first 3 decimals coincide. The cubic root of 729984346 is about 900.4048984725.

The spelling of 729984346 in words is "seven hundred twenty-nine million, nine hundred eighty-four thousand, three hundred forty-six".