349641 has 12 divisors (see below), whose sum is σ = 515268. Its totient is φ = 228384.

The previous prime is 349637. The next prime is 349663. The reversal of 349641 is 146943.

It can be written as a sum of positive squares in 2 ways, for example, as 308025 + 41616 = 555^2 + 204^2 .

It is not a de Polignac number, because 349641 - 2² = 349637 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

349641 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (349241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111 + ... + 843.

It is an arithmetic number, because the mean of its divisors is an integer number (42939).

2³⁴⁹⁶⁴¹ is an apocalyptic number.

It is an amenable number.

349641 is a deficient number, since it is larger than the sum of its proper divisors (165627).

349641 is a wasteful number, since it uses less digits than its factorization.

349641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 789 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 349641 is about 591.3044900895. The cubic root of 349641 is about 70.4488840278.

It can be divided in two parts, 349 and 641, that added together give a triangular number (990 = T₄₄).

The spelling of 349641 in words is "three hundred forty-nine thousand, six hundred forty-one".