348689200 has 120 divisors (see below), whose sum is σ = 883443456. Its totient is φ = 132000000.

The previous prime is 348689189. The next prime is 348689203. The reversal of 348689200 is 2986843.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (348689203) 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 23 ways as a sum of consecutive naturals, for example, 1389075 + ... + 1389325.

Almost surely, 2^348689200 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 348689200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441721728).

348689200 is an abundant number, since it is smaller than the sum of its proper divisors (534754256).

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

348689200 is a wasteful number, since it uses less digits than its factorization.

348689200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 348689200 is about 18673.2214681881. The cubic root of 348689200 is about 703.8490012755.

The spelling of 348689200 in words is "three hundred forty-eight million, six hundred eighty-nine thousand, two hundred".