3285855912249 has 27 divisors (see below), whose sum is σ = 5041991508463. Its totient is φ = 2061655507392.

The previous prime is 3285855912221. The next prime is 3285855912257. The reversal of 3285855912249 is 9422195585823.

The square root of 3285855912249 is 1812693.

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

3285855912249 is a `hidden beast` number, since 3 + 2 + 8 + 58 + 559 + 1 + 2 + 24 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2558192319225 + 727663593024 = 1599435^2 + 853032^2 .

It is not a de Polignac number, because 3285855912249 - 2¹⁷ = 3285855781177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3285855912299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 92429572 + ... + 92465114.

Almost surely, 2^{3285855912249} is an apocalyptic number.

3285855912249 is the 1812693-rd square number.

3285855912249 is the 906347-th centered octagonal number.

It is an amenable number.

3285855912249 is a deficient number, since it is larger than the sum of its proper divisors (1756135596214).

3285855912249 is an frugal number, since it uses more digits than its factorization.

3285855912249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71126 (or 35563 counting only the distinct ones).

The product of its digits is 62208000, while the sum is 63.

The spelling of 3285855912249 in words is "three trillion, two hundred eighty-five billion, eight hundred fifty-five million, nine hundred twelve thousand, two hundred forty-nine".