3745175649601 has 2 divisors, whose sum is σ = 3745175649602. Its totient is φ = 3745175649600.

The previous prime is 3745175649517. The next prime is 3745175649667. The reversal of 3745175649601 is 1069465715473.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3153291614001 + 591884035600 = 1775751^2 + 769340^2 .

It is a cyclic number.

It is not a de Polignac number, because 3745175649601 - 2¹⁷ = 3745175518529 is a prime.

It is not a weakly prime, because it can be changed into another prime (3745175640601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1872587824800 + 1872587824801.

It is an arithmetic number, because the mean of its divisors is an integer number (1872587824801).

Almost surely, 2^{3745175649601} is an apocalyptic number.

It is an amenable number.

3745175649601 is a deficient number, since it is larger than the sum of its proper divisors (1).

3745175649601 is an equidigital number, since it uses as much as digits as its factorization.

3745175649601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19051200, while the sum is 58.

The spelling of 3745175649601 in words is "three trillion, seven hundred forty-five billion, one hundred seventy-five million, six hundred forty-nine thousand, six hundred one".