349965280 has 48 divisors (see below), whose sum is σ = 944909280. Its totient is φ = 119987712.

The previous prime is 349965271. The next prime is 349965311. The reversal of 349965280 is 82569943.

It is a self number, because there is not a number n which added to its sum of digits gives 349965280.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 155115 + ... + 157354.

It is an arithmetic number, because the mean of its divisors is an integer number (19685610).

Almost surely, 2^349965280 is an apocalyptic number.

It is an amenable number.

349965280 is an abundant number, since it is smaller than the sum of its proper divisors (594944000).

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

349965280 is a wasteful number, since it uses less digits than its factorization.

349965280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312491 (or 312483 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The square root of 349965280 is about 18707.3589798240. The cubic root of 349965280 is about 704.7065693681.

The spelling of 349965280 in words is "three hundred forty-nine million, nine hundred sixty-five thousand, two hundred eighty".