36339279634849 has 27 divisors (see below), whose sum is σ = 37446793784049. Its totient is φ = 35264287565160.

The previous prime is 36339279634793. The next prime is 36339279634873. The reversal of 36339279634849 is 94843697293363.

The square root of 36339279634849 is 6028207.

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

It is not a de Polignac number, because 36339279634849 - 2¹⁷ = 36339279503777 is a prime.

It is a super-3 number, since 3×36339279634849³ (a number of 42 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36339279634949) 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, 29520129064 + ... + 29520130294.

Almost surely, 2^{36339279634849} is an apocalyptic number.

36339279634849 is the 6028207-th square number.

36339279634849 is the 3014104-th centered octagonal number.

It is an amenable number.

36339279634849 is a deficient number, since it is larger than the sum of its proper divisors (1107514149200).

36339279634849 is an frugal number, since it uses more digits than its factorization.

36339279634849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2746 (or 1373 counting only the distinct ones).

The product of its digits is 3809369088, while the sum is 76.

The spelling of 36339279634849 in words is "thirty-six trillion, three hundred thirty-nine billion, two hundred seventy-nine million, six hundred thirty-four thousand, eight hundred forty-nine".