349804 has 36 divisors (see below), whose sum is σ = 778512. Its totient is φ = 133920.

The previous prime is 349801. The next prime is 349813. The reversal of 349804 is 408943.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (349801) 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, 11269 + ... + 11299.

2³⁴⁹⁸⁰⁴ 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 349804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389256).

349804 is an abundant number, since it is smaller than the sum of its proper divisors (428708).

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

349804 is a wasteful number, since it uses less digits than its factorization.

349804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 349804 is about 591.4423048785. The cubic root of 349804 is about 70.4598299067.

It can be divided in two parts, 34 and 9804, that multiplied together give a triangular number (333336 = T₈₁₆).

The spelling of 349804 in words is "three hundred forty-nine thousand, eight hundred four".