349700 has 36 divisors (see below), whose sum is σ = 820260. Its totient is φ = 128640.

The previous prime is 349697. The next prime is 349709. The reversal of 349700 is 7943.

349700 = T₈₉ + T₉₀ + ... + T₁₄₀.

It can be written as a sum of positive squares in 6 ways, for example, as 111556 + 238144 = 334^2 + 488^2 .

It is not an unprimeable number, because it can be changed into a prime (349709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1166 + ... + 1434.

It is an arithmetic number, because the mean of its divisors is an integer number (22785).

2³⁴⁹⁷⁰⁰ 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 349700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410130).

349700 is an abundant number, since it is smaller than the sum of its proper divisors (470560).

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

349700 is a wasteful number, since it uses less digits than its factorization.

349700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 349700 is about 591.3543776789. The cubic root of 349700 is about 70.4528464258.

The spelling of 349700 in words is "three hundred forty-nine thousand, seven hundred".