3085387101729 has 27 divisors (see below), whose sum is σ = 4483077502449. Its totient is φ = 2044808211240.

The previous prime is 3085387101689. The next prime is 3085387101737. The reversal of 3085387101729 is 9271017835803.

It is a happy number.

The square root of 3085387101729 is 1756527.

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

3085387101729 is a `hidden beast` number, since 3 + 0 + 8 + 538 + 71 + 0 + 17 + 29 = 666.

It is not a de Polignac number, because 3085387101729 - 2¹⁷ = 3085386970657 is a prime.

It is a super-2 number, since 2×3085387101729² (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3085387101779) 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, 943253364 + ... + 943256634.

Almost surely, 2^{3085387101729} is an apocalyptic number.

3085387101729 is the 1756527-th square number.

3085387101729 is the 878264-th centered octagonal number.

It is an amenable number.

3085387101729 is a deficient number, since it is larger than the sum of its proper divisors (1397690400720).

3085387101729 is an frugal number, since it uses more digits than its factorization.

3085387101729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6906 (or 3453 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 3085387101729 in words is "three trillion, eighty-five billion, three hundred eighty-seven million, one hundred one thousand, seven hundred twenty-nine".