3908608000 has 224 divisors, whose sum is σ = 10672803648. Its totient is φ = 1417216000.

The previous prime is 3908607991. The next prime is 3908608027. The reversal of 3908608000 is 8068093.

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 15 ways as a sum of consecutive naturals, for example, 11263827 + ... + 11264173.

Almost surely, 2^3908608000 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 3908608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5336401824).

3908608000 is an abundant number, since it is smaller than the sum of its proper divisors (6764195648).

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

3908608000 is an equidigital number, since it uses as much as digits as its factorization.

3908608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 3908608000 is about 62518.8611540549. The cubic root of 3908608000 is about 1575.2181439680.

The spelling of 3908608000 in words is "three billion, nine hundred eight million, six hundred eight thousand".