3537691679349 has 24 divisors (see below), whose sum is σ = 5132592917400. Its totient is φ = 2348034324480.

The previous prime is 3537691679321. The next prime is 3537691679371. The reversal of 3537691679349 is 9439761967353.

3537691679349 is a `hidden beast` number, since 3 + 5 + 376 + 9 + 167 + 93 + 4 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2236251068100 + 1301440611249 = 1495410^2 + 1140807^2 .

It is not a de Polignac number, because 3537691679349 - 2¹⁵ = 3537691646581 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3537691679449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51740217 + ... + 51808545.

It is an arithmetic number, because the mean of its divisors is an integer number (213858038225).

Almost surely, 2^{3537691679349} is an apocalyptic number.

It is an amenable number.

3537691679349 is a deficient number, since it is larger than the sum of its proper divisors (1594901238051).

3537691679349 is a wasteful number, since it uses less digits than its factorization.

3537691679349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93685 (or 93682 counting only the distinct ones).

The product of its digits is 694416240, while the sum is 72.

The spelling of 3537691679349 in words is "three trillion, five hundred thirty-seven billion, six hundred ninety-one million, six hundred seventy-nine thousand, three hundred forty-nine".