349559728 has 60 divisors (see below), whose sum is σ = 806246760. Its totient is φ = 146313216.

The previous prime is 349559723. The next prime is 349559741. The reversal of 349559728 is 827955943.

349559728 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (349559723) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28528 + ... + 38896.

It is an arithmetic number, because the mean of its divisors is an integer number (13437446).

Almost surely, 2^349559728 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 349559728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403123380).

349559728 is an abundant number, since it is smaller than the sum of its proper divisors (456687032).

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

349559728 is a wasteful number, since it uses less digits than its factorization.

349559728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10434 (or 10421 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 52.

The square root of 349559728 is about 18696.5164669785. The cubic root of 349559728 is about 704.4342512815.

The spelling of 349559728 in words is "three hundred forty-nine million, five hundred fifty-nine thousand, seven hundred twenty-eight".