3729112330729 has 2 divisors, whose sum is σ = 3729112330730. Its totient is φ = 3729112330728.

The previous prime is 3729112330597. The next prime is 3729112330781. The reversal of 3729112330729 is 9270332119273.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3652245877225 + 76866453504 = 1911085^2 + 277248^2 .

It is a cyclic number.

It is not a de Polignac number, because 3729112330729 - 2⁹ = 3729112330217 is a prime.

It is not a weakly prime, because it can be changed into another prime (3729112370729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1864556165364 + 1864556165365.

It is an arithmetic number, because the mean of its divisors is an integer number (1864556165365).

Almost surely, 2^{3729112330729} is an apocalyptic number.

It is an amenable number.

3729112330729 is a deficient number, since it is larger than the sum of its proper divisors (1).

3729112330729 is an equidigital number, since it uses as much as digits as its factorization.

3729112330729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 857304, while the sum is 49.

The spelling of 3729112330729 in words is "three trillion, seven hundred twenty-nine billion, one hundred twelve million, three hundred thirty thousand, seven hundred twenty-nine".