349376 has 28 divisors (see below), whose sum is σ = 713232. Its totient is φ = 169728.

The previous prime is 349373. The next prime is 349379. The reversal of 349376 is 673943.

It is an interprime number because it is at equal distance from previous prime (349373) and next prime (349379).

It is a Harshad number since it is a multiple of its sum of digits (32).

Its product of digits (13608) is a multiple of the sum of its prime factors (168).

It is not an unprimeable number, because it can be changed into a prime (349373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3341 + ... + 3443.

2³⁴⁹³⁷⁶ 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 349376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356616).

349376 is an abundant number, since it is smaller than the sum of its proper divisors (363856).

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

349376 is a wasteful number, since it uses less digits than its factorization.

349376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 158 counting only the distinct ones).

The product of its digits is 13608, while the sum is 32.

The square root of 349376 is about 591.0803667861. The cubic root of 349376 is about 70.4310813170.

It can be divided in two parts, 34937 and 6, that added together give a palindrome (34943).

The spelling of 349376 in words is "three hundred forty-nine thousand, three hundred seventy-six".