348801 has 8 divisors (see below), whose sum is σ = 468000. Its totient is φ = 231072.

The previous prime is 348779. The next prime is 348811. The reversal of 348801 is 108843.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 348801 - 2⁵ = 348769 is a prime.

It is a Curzon number.

348801 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (348811) 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 7 ways as a sum of consecutive naturals, for example, 450 + ... + 948.

It is an arithmetic number, because the mean of its divisors is an integer number (58500).

2³⁴⁸⁸⁰¹ is an apocalyptic number.

It is an amenable number.

348801 is a deficient number, since it is larger than the sum of its proper divisors (119199).

348801 is a wasteful number, since it uses less digits than its factorization.

348801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735.

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 348801 is about 590.5937690156. The cubic root of 348801 is about 70.3924218125.

The spelling of 348801 in words is "three hundred forty-eight thousand, eight hundred one".