3981608000 has 56 divisors (see below), whose sum is σ = 9860472024. Its totient is φ = 1592640000.

The previous prime is 3981607991. The next prime is 3981608003. The reversal of 3981608000 is 8061893.

It can be written as a sum of positive squares in 4 ways, for example, as 80856064 + 3900751936 = 8992^2 + 62456^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3981608003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 240851 + ... + 256850.

Almost surely, 2^3981608000 is an apocalyptic number.

It is an amenable number.

3981608000 is an abundant number, since it is smaller than the sum of its proper divisors (5878864024).

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

3981608000 is an equidigital number, since it uses as much as digits as its factorization.

3981608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497728 (or 497708 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 3981608000 is about 63099.9841521375. The cubic root of 3981608000 is about 1584.9643568230.

Adding to 3981608000 its reverse (8061893), we get a palindrome (3989669893).

The spelling of 3981608000 in words is "three billion, nine hundred eighty-one million, six hundred eight thousand".