3681333216 has 72 divisors (see below), whose sum is σ = 11420509464. Its totient is φ = 1115554560.

The previous prime is 3681333211. The next prime is 3681333251. The reversal of 3681333216 is 6123331863.

3681333216 is a `hidden beast` number, since 36 + 81 + 333 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3681333211) 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 11 ways as a sum of consecutive naturals, for example, 577851 + ... + 584186.

It is an arithmetic number, because the mean of its divisors is an integer number (158618187).

Almost surely, 2^3681333216 is an apocalyptic number.

3681333216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3681333216 is an abundant number, since it is smaller than the sum of its proper divisors (7739176248).

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

3681333216 is a wasteful number, since it uses less digits than its factorization.

3681333216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162064 (or 1162053 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 3681333216 is about 60673.9912647915. The cubic root of 3681333216 is about 1544.0749469199.

The spelling of 3681333216 in words is "three billion, six hundred eighty-one million, three hundred thirty-three thousand, two hundred sixteen".