344984116224 has 88 divisors (see below), whose sum is σ = 1003100220288. Its totient is φ = 104540631040.

The previous prime is 344984116207. The next prime is 344984116247. The reversal of 344984116224 is 422611489443.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5070732 + ... + 5138315.

Almost surely, 2^344984116224 is an apocalyptic number.

It is an amenable number.

344984116224 is an abundant number, since it is smaller than the sum of its proper divisors (658116104064).

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

344984116224 is a wasteful number, since it uses less digits than its factorization.

344984116224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10209081 (or 10209063 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The spelling of 344984116224 in words is "three hundred forty-four billion, nine hundred eighty-four million, one hundred sixteen thousand, two hundred twenty-four".