3686324689440 has 144 divisors (see below), whose sum is σ = 12580323065856. Its totient is φ = 982962086400.

The previous prime is 3686324689417. The next prime is 3686324689451. The reversal of 3686324689440 is 449864236863.

3686324689440 is a `hidden beast` number, since 3 + 6 + 86 + 3 + 2 + 468 + 94 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28059105 + ... + 28190175.

It is an arithmetic number, because the mean of its divisors is an integer number (87363354624).

Almost surely, 2^{3686324689440} is an apocalyptic number.

3686324689440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3686324689440 is an abundant number, since it is smaller than the sum of its proper divisors (8893998376416).

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

3686324689440 is a wasteful number, since it uses less digits than its factorization.

3686324689440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150623 (or 150612 counting only the distinct ones).

The product of its (nonzero) digits is 143327232, while the sum is 63.

The spelling of 3686324689440 in words is "three trillion, six hundred eighty-six billion, three hundred twenty-four million, six hundred eighty-nine thousand, four hundred forty".