348216800 has 144 divisors (see below), whose sum is σ = 924940800. Its totient is φ = 127526400.

The previous prime is 348216787. The next prime is 348216829. The reversal of 348216800 is 8612843.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 470831 + ... + 471569.

It is an arithmetic number, because the mean of its divisors is an integer number (6423200).

Almost surely, 2^348216800 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 348216800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462470400).

348216800 is an abundant number, since it is smaller than the sum of its proper divisors (576724000).

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

348216800 is a wasteful number, since it uses less digits than its factorization.

348216800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 348216800 is about 18660.5680513751. The cubic root of 348216800 is about 703.5310021938.

The spelling of 348216800 in words is "three hundred forty-eight million, two hundred sixteen thousand, eight hundred".