347474085728 has 144 divisors (see below), whose sum is σ = 881081095104. Its totient is φ = 133358480640.

The previous prime is 347474085719. The next prime is 347474085733. The reversal of 347474085728 is 827580474743.

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1005275 + ... + 1305957.

It is an arithmetic number, because the mean of its divisors is an integer number (6118618716).

Almost surely, 2^347474085728 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 347474085728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440540547552).

347474085728 is an abundant number, since it is smaller than the sum of its proper divisors (533607009376).

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

347474085728 is a wasteful number, since it uses less digits than its factorization.

347474085728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300785 (or 300770 counting only the distinct ones).

The product of its (nonzero) digits is 42147840, while the sum is 59.

The spelling of 347474085728 in words is "three hundred forty-seven billion, four hundred seventy-four million, eighty-five thousand, seven hundred twenty-eight".