3286812816 has 100 divisors (see below), whose sum is σ = 10872018432. Its totient is φ = 939086784.

The previous prime is 3286812811. The next prime is 3286812821. The reversal of 3286812816 is 6182186823.

It is an interprime number because it is at equal distance from previous prime (3286812811) and next prime (3286812821).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3286812811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 172080 + ... + 190223.

Almost surely, 2^3286812816 is an apocalyptic number.

3286812816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3286812816 is an abundant number, since it is smaller than the sum of its proper divisors (7585205616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3286812816 is a wasteful number, since it uses less digits than its factorization.

3286812816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362330 (or 362315 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 3286812816 is about 57330.7318634605. The cubic root of 3286812816 is about 1486.8197587010.

The spelling of 3286812816 in words is "three billion, two hundred eighty-six million, eight hundred twelve thousand, eight hundred sixteen".