349035680 has 96 divisors (see below), whose sum is σ = 948205440. Its totient is φ = 118932480.

The previous prime is 349035607. The next prime is 349035707. The reversal of 349035680 is 86530943.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199610 + ... + 201350.

It is an arithmetic number, because the mean of its divisors is an integer number (9877140).

Almost surely, 2^349035680 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 349035680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474102720).

349035680 is an abundant number, since it is smaller than the sum of its proper divisors (599169760).

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

349035680 is a wasteful number, since it uses less digits than its factorization.

349035680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1942 (or 1934 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

The square root of 349035680 is about 18682.4966211692. The cubic root of 349035680 is about 704.0820539690.

The spelling of 349035680 in words is "three hundred forty-nine million, thirty-five thousand, six hundred eighty".