3688960000 has 260 divisors, whose sum is σ = 10133118864. Its totient is φ = 1331200000.

The previous prime is 3688959971. The next prime is 3688960019. The reversal of 3688960000 is 698863.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28159935 + ... + 28160065.

Almost surely, 2^3688960000 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 3688960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5066559432).

3688960000 is an abundant number, since it is smaller than the sum of its proper divisors (6444158864).

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

3688960000 is an equidigital number, since it uses as much as digits as its factorization.

3688960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 3688960000 is about 60736.8092675274. The cubic root of 3688960000 is about 1545.1405212867.

The spelling of 3688960000 in words is "three billion, six hundred eighty-eight million, nine hundred sixty thousand".