34806343713831 has 64 divisors (see below), whose sum is σ = 52513859174400. Its totient is φ = 22780658440800.

The previous prime is 34806343713829. The next prime is 34806343713901. The reversal of 34806343713831 is 13831734360843.

34806343713831 is a `hidden beast` number, since 3 + 48 + 0 + 6 + 3 + 437 + 138 + 31 = 666.

It is not a de Polignac number, because 34806343713831 - 2¹ = 34806343713829 is a prime.

It is a super-2 number, since 2×34806343713831² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34806343713331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1005045886 + ... + 1005080516.

It is an arithmetic number, because the mean of its divisors is an integer number (820529049600).

Almost surely, 2^{34806343713831} is an apocalyptic number.

34806343713831 is a deficient number, since it is larger than the sum of its proper divisors (17707515460569).

34806343713831 is a wasteful number, since it uses less digits than its factorization.

34806343713831 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37377 (or 37371 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 34806343713831 in words is "thirty-four trillion, eight hundred six billion, three hundred forty-three million, seven hundred thirteen thousand, eight hundred thirty-one".