349296 has 40 divisors (see below), whose sum is σ = 952320. Its totient is φ = 110016.

The previous prime is 349291. The next prime is 349303. The reversal of 349296 is 692943.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349291) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 721 + ... + 1103.

It is an arithmetic number, because the mean of its divisors is an integer number (23808).

2³⁴⁹²⁹⁶ 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 349296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476160).

349296 is an abundant number, since it is smaller than the sum of its proper divisors (603024).

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

349296 is a wasteful number, since it uses less digits than its factorization.

349296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 407 counting only the distinct ones).

The product of its digits is 11664, while the sum is 33.

The square root of 349296 is about 591.0126902191. The cubic root of 349296 is about 70.4257051448.

The spelling of 349296 in words is "three hundred forty-nine thousand, two hundred ninety-six".