347682412100 has 72 divisors (see below), whose sum is σ = 762112862280. Its totient is φ = 137666718720.

The previous prime is 347682412087. The next prime is 347682412109. The reversal of 347682412100 is 1214286743.

It can be written as a sum of positive squares in 12 ways, for example, as 48525921796 + 299156490304 = 220286^2 + 546952^2 .

It is not an unprimeable number, because it can be changed into a prime (347682412109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11942762 + ... + 11971838.

It is an arithmetic number, because the mean of its divisors is an integer number (10584900865).

Almost surely, 2^347682412100 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 347682412100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381056431140).

347682412100 is an abundant number, since it is smaller than the sum of its proper divisors (414430450180).

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

347682412100 is a wasteful number, since it uses less digits than its factorization.

347682412100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30297 (or 30290 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

Adding to 347682412100 its reverse (1214286743), we get a palindrome (348896698843).

The spelling of 347682412100 in words is "three hundred forty-seven billion, six hundred eighty-two million, four hundred twelve thousand, one hundred".