349407 has 8 divisors (see below), whose sum is σ = 517680. Its totient is φ = 232920.

The previous prime is 349403. The next prime is 349409. The reversal of 349407 is 704943.

It is not a de Polignac number, because 349407 - 2² = 349403 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 12941 = 349407 / (3 + 4 + 9 + 4 + 0 + 7).

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 7 ways as a sum of consecutive naturals, for example, 6444 + ... + 6497.

It is an arithmetic number, because the mean of its divisors is an integer number (64710).

2³⁴⁹⁴⁰⁷ is an apocalyptic number.

349407 is a deficient number, since it is larger than the sum of its proper divisors (168273).

349407 is a wasteful number, since it uses less digits than its factorization.

349407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12950 (or 12944 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 349407 is about 591.1065893728. The cubic root of 349407 is about 70.4331643631.

The spelling of 349407 in words is "three hundred forty-nine thousand, four hundred seven".