349735560 has 64 divisors (see below), whose sum is σ = 1110931200. Its totient is φ = 87776256.

The previous prime is 349735553. The next prime is 349735591. The reversal of 349735560 is 65537943.

It is a super-3 number, since 3×349735560³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83680 + ... + 87759.

It is an arithmetic number, because the mean of its divisors is an integer number (17358300).

Almost surely, 2^349735560 is an apocalyptic number.

349735560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

349735560 is an abundant number, since it is smaller than the sum of its proper divisors (761195640).

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

349735560 is a wasteful number, since it uses less digits than its factorization.

349735560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171470 (or 171466 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 42.

The square root of 349735560 is about 18701.2181421425. The cubic root of 349735560 is about 704.5523439480.

The spelling of 349735560 in words is "three hundred forty-nine million, seven hundred thirty-five thousand, five hundred sixty".