347126778072 has 128 divisors (see below), whose sum is σ = 973944000000. Its totient is φ = 114546123648.

The previous prime is 347126778049. The next prime is 347126778073. The reversal of 347126778072 is 270877621743.

347126778072 is a `hidden beast` number, since 3 + 471 + 26 + 7 + 7 + 80 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (347126778073) 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 31 ways as a sum of consecutive naturals, for example, 38569429 + ... + 38578427.

It is an arithmetic number, because the mean of its divisors is an integer number (7608937500).

Almost surely, 2^347126778072 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 347126778072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486972000000).

347126778072 is an abundant number, since it is smaller than the sum of its proper divisors (626817221928).

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

347126778072 is a wasteful number, since it uses less digits than its factorization.

347126778072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10790 (or 10780 counting only the distinct ones).

The product of its (nonzero) digits is 5531904, while the sum is 54.

The spelling of 347126778072 in words is "three hundred forty-seven billion, one hundred twenty-six million, seven hundred seventy-eight thousand, seventy-two".