349384 has 32 divisors (see below), whose sum is σ = 794880. Its totient is φ = 140544.

The previous prime is 349381. The next prime is 349387. The reversal of 349384 is 483943.

349384 = T₉ + T₁₀ + ... + T₁₂₇.

It is an interprime number because it is at equal distance from previous prime (349381) and next prime (349387).

It is not an unprimeable number, because it can be changed into a prime (349381) 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, 769 + ... + 1135.

It is an arithmetic number, because the mean of its divisors is an integer number (24840).

2³⁴⁹³⁸⁴ is an apocalyptic number.

349384 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397440).

349384 is an abundant number, since it is smaller than the sum of its proper divisors (445496).

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

349384 is a wasteful number, since it uses less digits than its factorization.

349384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 393 counting only the distinct ones).

The product of its digits is 10368, while the sum is 31.

The square root of 349384 is about 591.0871340166. The cubic root of 349384 is about 70.4316188891.

The spelling of 349384 in words is "three hundred forty-nine thousand, three hundred eighty-four".