3736761234097 has 2 divisors, whose sum is σ = 3736761234098. Its totient is φ = 3736761234096.

The previous prime is 3736761234061. The next prime is 3736761234121. The reversal of 3736761234097 is 7904321676373.

3736761234097 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2191809186576 + 1544952047521 = 1480476^2 + 1242961^2 .

It is an emirp because it is prime and its reverse (7904321676373) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3736761234097 - 2⁷ = 3736761233969 is a prime.

It is not a weakly prime, because it can be changed into another prime (3736761234197) 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, 1868380617048 + 1868380617049.

It is an arithmetic number, because the mean of its divisors is an integer number (1868380617049).

Almost surely, 2^{3736761234097} is an apocalyptic number.

It is an amenable number.

3736761234097 is a deficient number, since it is larger than the sum of its proper divisors (1).

3736761234097 is an equidigital number, since it uses as much as digits as its factorization.

3736761234097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24004512, while the sum is 58.

The spelling of 3736761234097 in words is "three trillion, seven hundred thirty-six billion, seven hundred sixty-one million, two hundred thirty-four thousand, ninety-seven".