3744584918649 has 81 divisors (see below), whose sum is σ = 6067088933997. Its totient is φ = 2224768681728.

The previous prime is 3744584918629. The next prime is 3744584918677. The reversal of 3744584918649 is 9468194854473.

The square root of 3744584918649 is 1935093.

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

3744584918649 is a `hidden beast` number, since 3 + 7 + 4 + 4 + 58 + 491 + 86 + 4 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 396782828649 + 3347802090000 = 629907^2 + 1829700^2 .

It is not a de Polignac number, because 3744584918649 - 2¹¹ = 3744584916601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3744584918629) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1875104119 + ... + 1875106115.

Almost surely, 2^{3744584918649} is an apocalyptic number.

3744584918649 is the 1935093-rd square number.

3744584918649 is the 967547-th centered octagonal number.

It is an amenable number.

3744584918649 is a deficient number, since it is larger than the sum of its proper divisors (2322504015348).

3744584918649 is an equidigital number, since it uses as much as digits as its factorization.

3744584918649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4072 (or 2036 counting only the distinct ones).

The product of its digits is 836075520, while the sum is 72.

The spelling of 3744584918649 in words is "three trillion, seven hundred forty-four billion, five hundred eighty-four million, nine hundred eighteen thousand, six hundred forty-nine".