3853137521349 has 90 divisors (see below), whose sum is σ = 6028974467670. Its totient is φ = 2449500480000.

The previous prime is 3853137521341. The next prime is 3853137521393. The reversal of 3853137521349 is 9431257313583.

It is a happy number.

3853137521349 is a `hidden beast` number, since 3 + 8 + 5 + 313 + 75 + 213 + 49 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 2330583890625 + 1522553630724 = 1526625^2 + 1233918^2 .

It is not a de Polignac number, because 3853137521349 - 2³ = 3853137521341 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3853137521295 and 3853137521304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3853137521341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 9608821549 + ... + 9608821949.

Almost surely, 2^{3853137521349} is an apocalyptic number.

It is an amenable number.

3853137521349 is a deficient number, since it is larger than the sum of its proper divisors (2175836946321).

3853137521349 is an frugal number, since it uses more digits than its factorization.

3853137521349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 534 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

The spelling of 3853137521349 in words is "three trillion, eight hundred fifty-three billion, one hundred thirty-seven million, five hundred twenty-one thousand, three hundred forty-nine".