34729853385616 has 15 divisors (see below), whose sum is σ = 67289136606993. Its totient is φ = 17364914906400.

The previous prime is 34729853385571. The next prime is 34729853385659. The reversal of 34729853385616 is 61658335892743.

The square root of 34729853385616 is 5893204.

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

It can be written as a sum of positive squares in only one way, i.e., 1211311555216 + 33518541830400 = 1100596^2 + 5789520^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 22836166 + ... + 24309466.

Almost surely, 2^{34729853385616} is an apocalyptic number.

34729853385616 is the 5893204-th square number.

It is an amenable number.

34729853385616 is a deficient number, since it is larger than the sum of its proper divisors (32559283221377).

34729853385616 is an frugal number, since it uses more digits than its factorization.

34729853385616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2946610 (or 1473303 counting only the distinct ones).

The product of its digits is 783820800, while the sum is 70.

The spelling of 34729853385616 in words is "thirty-four trillion, seven hundred twenty-nine billion, eight hundred fifty-three million, three hundred eighty-five thousand, six hundred sixteen".