347879710320 has 80 divisors (see below), whose sum is σ = 1115614265760. Its totient is φ = 89569027072.

The previous prime is 347879710271. The next prime is 347879710327. The reversal of 347879710320 is 23017978743.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×347879710320² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (347879710327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24984399 + ... + 24998318.

It is an arithmetic number, because the mean of its divisors is an integer number (13945178322).

Almost surely, 2^347879710320 is an apocalyptic number.

347879710320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

347879710320 is an abundant number, since it is smaller than the sum of its proper divisors (767734555440).

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

347879710320 is a wasteful number, since it uses less digits than its factorization.

347879710320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49982762 (or 49982756 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 51.

The spelling of 347879710320 in words is "three hundred forty-seven billion, eight hundred seventy-nine million, seven hundred ten thousand, three hundred twenty".