348796224 has 336 divisors, whose sum is σ = 1252118400. Its totient is φ = 90574848.

The previous prime is 348796223. The next prime is 348796249. The reversal of 348796224 is 422697843.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 348796224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348796223) 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 47 ways as a sum of consecutive naturals, for example, 2221554 + ... + 2221710.

Almost surely, 2^348796224 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 348796224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626059200).

348796224 is an abundant number, since it is smaller than the sum of its proper divisors (903322176).

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

348796224 is a wasteful number, since it uses less digits than its factorization.

348796224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 217 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 348796224 is about 18676.0869563193. The cubic root of 348796224 is about 703.9210052549.

The spelling of 348796224 in words is "three hundred forty-eight million, seven hundred ninety-six thousand, two hundred twenty-four".