347244416064 has 252 divisors, whose sum is σ = 1246877472204. Its totient is φ = 91580848128.

The previous prime is 347244416059. The next prime is 347244416131. The reversal of 347244416064 is 460614442743.

347244416064 is a `hidden beast` number, since 3 + 47 + 2 + 444 + 160 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 165154457664 + 182089958400 = 406392^2 + 426720^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 106287 + ... + 840110.

It is an arithmetic number, because the mean of its divisors is an integer number (4947926477).

Almost surely, 2^347244416064 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 347244416064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623438736102).

347244416064 is an abundant number, since it is smaller than the sum of its proper divisors (899633056140).

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

347244416064 is a wasteful number, since it uses less digits than its factorization.

347244416064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946442 (or 946422 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

The spelling of 347244416064 in words is "three hundred forty-seven billion, two hundred forty-four million, four hundred sixteen thousand, sixty-four".