3743774077313 has 2 divisors, whose sum is σ = 3743774077314. Its totient is φ = 3743774077312.

The previous prime is 3743774077291. The next prime is 3743774077369. The reversal of 3743774077313 is 3137704773473.

3743774077313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (3743774077369) can be obtained adding 3743774077313 to its sum of digits (56).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2129941762624 + 1613832314689 = 1459432^2 + 1270367^2 .

It is a cyclic number.

It is not a de Polignac number, because 3743774077313 - 2¹⁶ = 3743774011777 is a prime.

It is not a weakly prime, because it can be changed into another prime (3743774077013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1871887038656 + 1871887038657.

It is an arithmetic number, because the mean of its divisors is an integer number (1871887038657).

Almost surely, 2^{3743774077313} is an apocalyptic number.

It is an amenable number.

3743774077313 is a deficient number, since it is larger than the sum of its proper divisors (1).

3743774077313 is an equidigital number, since it uses as much as digits as its factorization.

3743774077313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21781872, while the sum is 56.

The spelling of 3743774077313 in words is "three trillion, seven hundred forty-three billion, seven hundred seventy-four million, seventy-seven thousand, three hundred thirteen".