3729838896337 has 2 divisors, whose sum is σ = 3729838896338. Its totient is φ = 3729838896336.

The previous prime is 3729838896331. The next prime is 3729838896341. The reversal of 3729838896337 is 7336988389273.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2775702609936 + 954136286401 = 1666044^2 + 976799^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3729838896337 is a prime.

It is not a weakly prime, because it can be changed into another prime (3729838896331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1864919448168 + 1864919448169.

It is an arithmetic number, because the mean of its divisors is an integer number (1864919448169).

Almost surely, 2^{3729838896337} is an apocalyptic number.

It is an amenable number.

3729838896337 is a deficient number, since it is larger than the sum of its proper divisors (1).

3729838896337 is an equidigital number, since it uses as much as digits as its factorization.

3729838896337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1975228416, while the sum is 76.

The spelling of 3729838896337 in words is "three trillion, seven hundred twenty-nine billion, eight hundred thirty-eight million, eight hundred ninety-six thousand, three hundred thirty-seven".