348549800 has 48 divisors (see below), whose sum is σ = 812550300. Its totient is φ = 139046400.

The previous prime is 348549779. The next prime is 348549821. The reversal of 348549800 is 8945843.

It is an interprime number because it is at equal distance from previous prime (348549779) and next prime (348549821).

It can be written as a sum of positive squares in 6 ways, for example, as 299913124 + 48636676 = 17318^2 + 6974^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 79670 + ... + 83930.

Almost surely, 2^348549800 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 348549800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406275150).

348549800 is an abundant number, since it is smaller than the sum of its proper divisors (464000500).

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

348549800 is a wasteful number, since it uses less digits than its factorization.

348549800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4686 (or 4677 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The square root of 348549800 is about 18669.4884771919. The cubic root of 348549800 is about 703.7551931614.

The spelling of 348549800 in words is "three hundred forty-eight million, five hundred forty-nine thousand, eight hundred".