3701749064049 has 27 divisors (see below), whose sum is σ = 5552575256683. Its totient is φ = 2467728813744.

The previous prime is 3701749064047. The next prime is 3701749064059. The reversal of 3701749064049 is 9404609471073.

The square root of 3701749064049 is 1923993.

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

3701749064049 is a `hidden beast` number, since 3 + 70 + 1 + 7 + 490 + 6 + 40 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2638854047025 + 1062895017024 = 1624455^2 + 1030968^2 .

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 3701749064049 - 2¹ = 3701749064047 is a prime.

It is a super-2 number, since 2×3701749064049² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3701749063986 and 3701749064004.

It is not an unprimeable number, because it can be changed into a prime (3701749064047) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 155831557 + ... + 155855309.

Almost surely, 2^{3701749064049} is an apocalyptic number.

3701749064049 is the 1923993-rd square number.

3701749064049 is the 961997-th centered octagonal number.

It is an amenable number.

3701749064049 is a deficient number, since it is larger than the sum of its proper divisors (1850826192634).

3701749064049 is an frugal number, since it uses more digits than its factorization.

3701749064049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47530 (or 23756 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 3701749064049 in words is "three trillion, seven hundred one billion, seven hundred forty-nine million, sixty-four thousand, forty-nine".