347840448400 has 135 divisors (see below), whose sum is σ = 859962236889. Its totient is φ = 135205885440.

The previous prime is 347840448359. The next prime is 347840448401. The reversal of 347840448400 is 4844048743.

The square root of 347840448400 is 589780.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 76257717904 + 271582730496 = 276148^2 + 521136^2 .

It is a super-2 number, since 2×347840448400² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (347840448401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 436436802 + ... + 436437598.

Almost surely, 2^347840448400 is an apocalyptic number.

347840448400 is the 589780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 347840448400

347840448400 is an abundant number, since it is smaller than the sum of its proper divisors (512121788489).

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

347840448400 is an frugal number, since it uses more digits than its factorization.

347840448400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 46.

The spelling of 347840448400 in words is "three hundred forty-seven billion, eight hundred forty million, four hundred forty-eight thousand, four hundred".