349759728 has 40 divisors (see below), whose sum is σ = 1003941200. Its totient is φ = 116586432.

The previous prime is 349759681. The next prime is 349759741. The reversal of 349759728 is 827957943.

349759728 is a `hidden beast` number, since 3 + 49 + 7 + 597 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 404383 + ... + 405246.

It is an arithmetic number, because the mean of its divisors is an integer number (25098530).

Almost surely, 2^349759728 is an apocalyptic number.

It is an amenable number.

349759728 is an abundant number, since it is smaller than the sum of its proper divisors (654181472).

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

349759728 is a wasteful number, since it uses less digits than its factorization.

349759728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809646 (or 809634 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The square root of 349759728 is about 18701.8642920967. The cubic root of 349759728 is about 704.5685726179.

The spelling of 349759728 in words is "three hundred forty-nine million, seven hundred fifty-nine thousand, seven hundred twenty-eight".