3686681328 has 80 divisors (see below), whose sum is σ = 10496994816. Its totient is φ = 1105643520.

The previous prime is 3686681311. The next prime is 3686681333. The reversal of 3686681328 is 8231866863.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 15225 + ... + 87207.

Almost surely, 2^3686681328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3686681328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5248497408).

3686681328 is an abundant number, since it is smaller than the sum of its proper divisors (6810313488).

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

3686681328 is a wasteful number, since it uses less digits than its factorization.

3686681328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72102 (or 72096 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 51.

The square root of 3686681328 is about 60718.0477947043. The cubic root of 3686681328 is about 1544.8223111283.

The spelling of 3686681328 in words is "three billion, six hundred eighty-six million, six hundred eighty-one thousand, three hundred twenty-eight".