348315201 has 64 divisors (see below), whose sum is σ = 605472000. Its totient is φ = 195955200.

The previous prime is 348315181. The next prime is 348315211. The reversal of 348315201 is 102513843.

It is a happy number.

348315201 is a `hidden beast` number, since 348 + 315 + 2 + 0 + 1 = 666.

It is not a de Polignac number, because 348315201 - 2⁵ = 348315169 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (348315211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 192501 + ... + 194301.

It is an arithmetic number, because the mean of its divisors is an integer number (9460500).

Almost surely, 2^348315201 is an apocalyptic number.

It is an amenable number.

348315201 is a deficient number, since it is larger than the sum of its proper divisors (257156799).

348315201 is a wasteful number, since it uses less digits than its factorization.

348315201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1871 (or 1865 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 348315201 is about 18663.2044676149. The cubic root of 348315201 is about 703.5972651601.

The spelling of 348315201 in words is "three hundred forty-eight million, three hundred fifteen thousand, two hundred one".