3683712672 has 72 divisors (see below), whose sum is σ = 10653158880. Its totient is φ = 1207086720.

The previous prime is 3683712649. The next prime is 3683712719. The reversal of 3683712672 is 2762173863.

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

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 91404 + ... + 125387.

It is an arithmetic number, because the mean of its divisors is an integer number (147960540).

Almost surely, 2^3683712672 is an apocalyptic number.

3683712672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3683712672 is an abundant number, since it is smaller than the sum of its proper divisors (6969446208).

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

3683712672 is a wasteful number, since it uses less digits than its factorization.

3683712672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216866 (or 216855 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 3683712672 is about 60693.5966309462. The cubic root of 3683712672 is about 1544.4075498911.

The spelling of 3683712672 in words is "three billion, six hundred eighty-three million, seven hundred twelve thousand, six hundred seventy-two".