3968271816600 has 384 divisors, whose sum is σ = 15937354944000. Its totient is φ = 793195130880.

The previous prime is 3968271816577. The next prime is 3968271816611. The reversal of 3968271816600 is 66181728693.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 875205 + ... + 2950004.

It is an arithmetic number, because the mean of its divisors is an integer number (41503528500).

Almost surely, 2^{3968271816600} is an apocalyptic number.

3968271816600 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 3968271816600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7968677472000).

3968271816600 is an abundant number, since it is smaller than the sum of its proper divisors (11969083127400).

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

3968271816600 is a wasteful number, since it uses less digits than its factorization.

3968271816600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3825267 (or 3825258 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

It can be divided in two parts, 3968271 and 816600, that added together give a triangular number (4784871 = T₃₀₉₃).

The spelling of 3968271816600 in words is "three trillion, nine hundred sixty-eight billion, two hundred seventy-one million, eight hundred sixteen thousand, six hundred".