3910874073649 has 9 divisors (see below), whose sum is σ = 4154493639297. Its totient is φ = 3680791016064.

The previous prime is 3910874073641. The next prime is 3910874073707. The reversal of 3910874073649 is 9463704780193.

The square root of 3910874073649 is 1977593.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2484359154225 + 1426514919424 = 1576185^2 + 1194368^2 .

It is not a de Polignac number, because 3910874073649 - 2³ = 3910874073641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3910874073641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 33560917 + ... + 33677245.

Almost surely, 2^{3910874073649} is an apocalyptic number.

3910874073649 is the 1977593-rd square number.

3910874073649 is the 988797-th centered octagonal number.

It is an amenable number.

3910874073649 is a deficient number, since it is larger than the sum of its proper divisors (243619565648).

3910874073649 is an frugal number, since it uses more digits than its factorization.

3910874073649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232692 (or 116346 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 61.

The spelling of 3910874073649 in words is "three trillion, nine hundred ten billion, eight hundred seventy-four million, seventy-three thousand, six hundred forty-nine".