39300900135849 has 81 divisors (see below), whose sum is σ = 62718417611031. Its totient is φ = 23696982540000.

The previous prime is 39300900135839. The next prime is 39300900135863. The reversal of 39300900135849 is 94853100900393.

It is a happy number.

The square root of 39300900135849 is 6269043.

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

39300900135849 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 33894438103449 + 5406462032400 = 5821893^2 + 2325180^2 .

It is not a de Polignac number, because 39300900135849 - 2¹¹ = 39300900133801 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 39300900135795 and 39300900135804.

It is not an unprimeable number, because it can be changed into a prime (39300900135839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 56064051199 + ... + 56064051899.

Almost surely, 2^{39300900135849} is an apocalyptic number.

39300900135849 is the 6269043-rd square number.

39300900135849 is the 3134522-nd centered octagonal number.

It is an amenable number.

39300900135849 is a deficient number, since it is larger than the sum of its proper divisors (23417517475182).

39300900135849 is an frugal number, since it uses more digits than its factorization.

39300900135849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 39300900135849 in words is "thirty-nine trillion, three hundred billion, nine hundred million, one hundred thirty-five thousand, eight hundred forty-nine".