3688846656 has 336 divisors, whose sum is σ = 11561551680. Its totient is φ = 1034035200.

The previous prime is 3688846631. The next prime is 3688846741. The reversal of 3688846656 is 6566488863.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3688846656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26925820 + ... + 26925956.

It is an arithmetic number, because the mean of its divisors is an integer number (34409380).

Almost surely, 2^3688846656 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 3688846656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5780775840).

3688846656 is an abundant number, since it is smaller than the sum of its proper divisors (7872705024).

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

3688846656 is a wasteful number, since it uses less digits than its factorization.

3688846656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 233 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 60.

The square root of 3688846656 is about 60735.8761853322. The cubic root of 3688846656 is about 1545.1246962122.

The spelling of 3688846656 in words is "three billion, six hundred eighty-eight million, eight hundred forty-six thousand, six hundred fifty-six".