3718753557649 has 9 divisors (see below), whose sum is σ = 4026843128763. Its totient is φ = 3432672450792.

The previous prime is 3718753557599. The next prime is 3718753557653. The reversal of 3718753557649 is 9467553578173.

The square root of 3718753557649 is 1928407.

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

It can be written as a sum of positive squares in only one way, i.e., 550111473025 + 3168642084624 = 741695^2 + 1780068^2 .

It is not a de Polignac number, because 3718753557649 - 2¹³ = 3718753549457 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3718753507649) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24995122 + ... + 25143460.

It is an arithmetic number, because the mean of its divisors is an integer number (447427014307).

Almost surely, 2^{3718753557649} is an apocalyptic number.

3718753557649 is the 1928407-th square number.

3718753557649 is the 964204-th centered octagonal number.

It is an amenable number.

3718753557649 is a deficient number, since it is larger than the sum of its proper divisors (308089571114).

3718753557649 is an frugal number, since it uses more digits than its factorization.

3718753557649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296704 (or 148352 counting only the distinct ones).

The product of its digits is 666792000, while the sum is 70.

The spelling of 3718753557649 in words is "three trillion, seven hundred eighteen billion, seven hundred fifty-three million, five hundred fifty-seven thousand, six hundred forty-nine".