3971281800096 has 576 divisors, whose sum is σ = 13026715228800. Its totient is φ = 1137407090688.

The previous prime is 3971281800071. The next prime is 3971281800119. The reversal of 3971281800096 is 6900081821793.

3971281800096 is a `hidden beast` number, since 397 + 12 + 81 + 80 + 0 + 0 + 96 = 666.

3971281800096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3971281800096² (a number of 26 digits) contains 22 as substring.

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, 2425950190 + ... + 2425951826.

It is an arithmetic number, because the mean of its divisors is an integer number (22615825050).

Almost surely, 2^{3971281800096} is an apocalyptic number.

3971281800096 is a gapful number since it is divisible by the number (36) 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 3971281800096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6513357614400).

3971281800096 is an abundant number, since it is smaller than the sum of its proper divisors (9055433428704).

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

3971281800096 is a wasteful number, since it uses less digits than its factorization.

3971281800096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2261 (or 2250 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 3971281800096 in words is "three trillion, nine hundred seventy-one billion, two hundred eighty-one million, eight hundred thousand, ninety-six".