349408 has 24 divisors (see below), whose sum is σ = 703080. Its totient is φ = 170880.

The previous prime is 349403. The next prime is 349409. The reversal of 349408 is 804943.

It is a super-3 number, since 3×349408³ = 127973423339175936, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349403) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1863 + ... + 2041.

It is an arithmetic number, because the mean of its divisors is an integer number (29295).

2³⁴⁹⁴⁰⁸ 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 349408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351540).

349408 is an abundant number, since it is smaller than the sum of its proper divisors (353672).

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

349408 is a wasteful number, since it uses less digits than its factorization.

349408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 242 counting only the distinct ones).

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

The square root of 349408 is about 591.1074352434. The cubic root of 349408 is about 70.4332315561.

Subtracting 349408 from its reverse (804943), we obtain a triangular number (455535 = T₉₅₄).

It can be divided in two parts, 349 and 408, that added together give a palindrome (757).

The spelling of 349408 in words is "three hundred forty-nine thousand, four hundred eight".