349866 has 64 divisors (see below), whose sum is σ = 921600. Its totient is φ = 97200.

The previous prime is 349849. The next prime is 349871. The reversal of 349866 is 668943.

349866 is a nontrivial binomial coefficient, being equal to C(837, 2).

It is a d-powerful number, because it can be written as 3¹⁰ + 4⁶ + 8 + 9⁴ + 6³ + 6⁷ .

Its product of digits (31104) is a multiple of the sum of its prime factors (72).

It is a Curzon number.

It is a plaindrome in base 4 and base 16.

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 349866.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11271 + ... + 11301.

It is an arithmetic number, because the mean of its divisors is an integer number (14400).

2³⁴⁹⁸⁶⁶ is an apocalyptic number.

349866 is the 836-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460800).

349866 is an abundant number, since it is smaller than the sum of its proper divisors (571734).

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

349866 is a wasteful number, since it uses less digits than its factorization.

349866 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 66 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 349866 is about 591.4947167980. The cubic root of 349866 is about 70.4639924771.

The spelling of 349866 in words is "three hundred forty-nine thousand, eight hundred sixty-six".