347796806049 has 405 divisors, whose sum is σ = 713725306371. Its totient is φ = 168147524160.

The previous prime is 347796805997. The next prime is 347796806053. The reversal of 347796806049 is 940608697743.

The square root of 347796806049 is 589743.

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

347796806049 is a `hidden beast` number, since 3 + 477 + 9 + 68 + 0 + 60 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 311213358225 + 36583447824 = 557865^2 + 191268^2 .

It is not a de Polignac number, because 347796806049 - 2⁷ = 347796805921 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (347796806099) by changing a digit.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 9399913659 + ... + 9399913695.

Almost surely, 2^347796806049 is an apocalyptic number.

347796806049 is the 589743-rd square number.

347796806049 is the 294872-nd centered octagonal number.

It is an amenable number.

347796806049 is an abundant number, since it is smaller than the sum of its proper divisors (365928500322).

347796806049 is a wasteful number, since it uses less digits than its factorization.

347796806049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 347796806049 in words is "three hundred forty-seven billion, seven hundred ninety-six million, eight hundred six thousand, forty-nine".