34793067841 has 9 divisors (see below), whose sum is σ = 40475087649. Its totient is φ = 29821510404.

The previous prime is 34793067787. The next prime is 34793067847. The reversal of 34793067841 is 14876039743.

The square root of 34793067841 is 186529.

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

It is not a de Polignac number, because 34793067841 - 2⁹ = 34793067329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34793067847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1292380 + ... + 1319026.

It is an arithmetic number, because the mean of its divisors is an integer number (4497231961).

Almost surely, 2^34793067841 is an apocalyptic number.

34793067841 is the 186529-th square number.

34793067841 is the 93265-th centered octagonal number.

It is an amenable number.

34793067841 is a deficient number, since it is larger than the sum of its proper divisors (5682019808).

34793067841 is an frugal number, since it uses more digits than its factorization.

34793067841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53308 (or 26654 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 52.

The spelling of 34793067841 in words is "thirty-four billion, seven hundred ninety-three million, sixty-seven thousand, eight hundred forty-one".