3688256000 has 480 divisors, whose sum is σ = 11214567936. Its totient is φ = 1198080000.

The previous prime is 3688255979. The next prime is 3688256053. The reversal of 3688256000 is 6528863.

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, 118975985 + ... + 118976015.

Almost surely, 2^3688256000 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 3688256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5607283968).

3688256000 is an abundant number, since it is smaller than the sum of its proper divisors (7526311936).

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

3688256000 is a wasteful number, since it uses less digits than its factorization.

3688256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 3688256000 is about 60731.0134939308. The cubic root of 3688256000 is about 1545.0422236517.

The spelling of 3688256000 in words is "three billion, six hundred eighty-eight million, two hundred fifty-six thousand".