3687641680 has 80 divisors (see below), whose sum is σ = 8816341968. Its totient is φ = 1433600000.

The previous prime is 3687641669. The next prime is 3687641701. The reversal of 3687641680 is 861467863.

It can be written as a sum of positive squares in 8 ways, for example, as 1024256016 + 2663385664 = 32004^2 + 51608^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 919680 + ... + 923680.

Almost surely, 2^3687641680 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 3687641680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4408170984).

3687641680 is an abundant number, since it is smaller than the sum of its proper divisors (5128700288).

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

3687641680 is a wasteful number, since it uses less digits than its factorization.

3687641680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4336 (or 4330 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

The square root of 3687641680 is about 60725.9555709089. The cubic root of 3687641680 is about 1544.9564375746.

The spelling of 3687641680 in words is "three billion, six hundred eighty-seven million, six hundred forty-one thousand, six hundred eighty".