3913632000 has 432 divisors, whose sum is σ = 14325921792. Its totient is φ = 1025740800.

The previous prime is 3913631987. The next prime is 3913632011. The reversal of 3913632000 is 2363193.

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 47 ways as a sum of consecutive naturals, for example, 30815937 + ... + 30816063.

It is an arithmetic number, because the mean of its divisors is an integer number (33161856).

Almost surely, 2^3913632000 is an apocalyptic number.

3913632000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3913632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7162960896).

3913632000 is an abundant number, since it is smaller than the sum of its proper divisors (10412289792).

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

3913632000 is a wasteful number, since it uses less digits than its factorization.

3913632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 3913632000 is about 62559.0281254433. The cubic root of 3913632000 is about 1575.8927667168.

Adding to 3913632000 its reverse (2363193), we get a palindrome (3915995193).

The spelling of 3913632000 in words is "three billion, nine hundred thirteen million, six hundred thirty-two thousand".