3729607218097 has 2 divisors, whose sum is σ = 3729607218098. Its totient is φ = 3729607218096.

The previous prime is 3729607218067. The next prime is 3729607218119. The reversal of 3729607218097 is 7908127069273.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2358684711601 + 1370922506496 = 1535801^2 + 1170864^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3729607218097 is a prime.

It is not a weakly prime, because it can be changed into another prime (3729607218067) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1864803609048 + 1864803609049.

It is an arithmetic number, because the mean of its divisors is an integer number (1864803609049).

Almost surely, 2^{3729607218097} is an apocalyptic number.

It is an amenable number.

3729607218097 is a deficient number, since it is larger than the sum of its proper divisors (1).

3729607218097 is an equidigital number, since it uses as much as digits as its factorization.

3729607218097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16003008, while the sum is 61.

The spelling of 3729607218097 in words is "three trillion, seven hundred twenty-nine billion, six hundred seven million, two hundred eighteen thousand, ninety-seven".