349975760 has 40 divisors (see below), whose sum is σ = 814486560. Its totient is φ = 139853952.

The previous prime is 349975699. The next prime is 349975781. The reversal of 349975760 is 67579943.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 349975699 and 349975708.

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, 136571 + ... + 139109.

It is an arithmetic number, because the mean of its divisors is an integer number (20362164).

Almost surely, 2^349975760 is an apocalyptic number.

It is an amenable number.

349975760 is an abundant number, since it is smaller than the sum of its proper divisors (464510800).

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

349975760 is a wasteful number, since it uses less digits than its factorization.

349975760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4275 (or 4269 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 50.

The square root of 349975760 is about 18707.6390814020. The cubic root of 349975760 is about 704.7136036384.

The spelling of 349975760 in words is "three hundred forty-nine million, nine hundred seventy-five thousand, seven hundred sixty".