347704940335104 has 1287 divisors, whose sum is σ = 1157031877800729. Its totient is φ = 104398480834560.

The previous prime is 347704940335099. The next prime is 347704940335111. The reversal of 347704940335104 is 401533049407743.

The square root of 347704940335104 is 18646848.

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

347704940335104 is a `hidden beast` number, since 3 + 4 + 7 + 7 + 0 + 4 + 94 + 0 + 33 + 510 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 242348675272704 + 105356265062400 = 15567552^2 + 10264320^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 3189953581002 + ... + 3189953581110.

Almost surely, 2^{347704940335104} is an apocalyptic number.

347704940335104 is the 18646848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 347704940335104

347704940335104 is an abundant number, since it is smaller than the sum of its proper divisors (809326937465625).

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

347704940335104 is an frugal number, since it uses more digits than its factorization.

347704940335104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 347704940335104 in words is "three hundred forty-seven trillion, seven hundred four billion, nine hundred forty million, three hundred thirty-five thousand, one hundred four".