348146920 has 64 divisors (see below), whose sum is σ = 874463040. Its totient is φ = 123648000.

The previous prime is 348146879. The next prime is 348146921. The reversal of 348146920 is 29641843.

It is a self number, because there is not a number n which added to its sum of digits gives 348146920.

It is not an unprimeable number, because it can be changed into a prime (348146921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9720 + ... + 28120.

It is an arithmetic number, because the mean of its divisors is an integer number (13663485).

Almost surely, 2^348146920 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 348146920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437231520).

348146920 is an abundant number, since it is smaller than the sum of its proper divisors (526316120).

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

348146920 is a wasteful number, since it uses less digits than its factorization.

348146920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18466 (or 18462 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 348146920 is about 18658.6955599795. The cubic root of 348146920 is about 703.4839376108.

The spelling of 348146920 in words is "three hundred forty-eight million, one hundred forty-six thousand, nine hundred twenty".