3973641696000 has 864 divisors, whose sum is σ = 14944324082688. Its totient is φ = 1012825497600.

The previous prime is 3973641695971. The next prime is 3973641696007. The reversal of 3973641696000 is 6961463793.

3973641696000 is a `hidden beast` number, since 397 + 36 + 4 + 169 + 60 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (3973641696007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 582044587 + ... + 582051413.

It is an arithmetic number, because the mean of its divisors is an integer number (17296671392).

Almost surely, 2^{3973641696000} is an apocalyptic number.

3973641696000 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 3973641696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7472162041344).

3973641696000 is an abundant number, since it is smaller than the sum of its proper divisors (10970682386688).

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

3973641696000 is a wasteful number, since it uses less digits than its factorization.

3973641696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6954 (or 6927 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 3973641696000 in words is "three trillion, nine hundred seventy-three billion, six hundred forty-one million, six hundred ninety-six thousand".