3981632000 has 80 divisors (see below), whose sum is σ = 9928607832. Its totient is φ = 1592627200.

The previous prime is 3981631987. The next prime is 3981632003. The reversal of 3981632000 is 2361893.

It can be written as a sum of positive squares in 4 ways, for example, as 302481664 + 3679150336 = 17392^2 + 60656^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (3981632003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32894 + ... + 95106.

Almost surely, 2^3981632000 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 3981632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4964303916).

3981632000 is an abundant number, since it is smaller than the sum of its proper divisors (5946975832).

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

3981632000 is an frugal number, since it uses more digits than its factorization.

3981632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62246 (or 62220 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 3981632000 is about 63100.1743262251. The cubic root of 3981632000 is about 1584.9675413880.

Adding to 3981632000 its reverse (2361893), we get a palindrome (3983993893).

The spelling of 3981632000 in words is "three billion, nine hundred eighty-one million, six hundred thirty-two thousand".