3971621548800 has 1296 divisors, whose sum is σ = 15394167210240. Its totient is φ = 1011790725120.

The previous prime is 3971621548759. The next prime is 3971621548849. The reversal of 3971621548800 is 88451261793.

3971621548800 is a `hidden beast` number, since 3 + 9 + 7 + 1 + 621 + 5 + 4 + 8 + 8 + 0 + 0 = 666.

3971621548800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-3 number, since 3×3971621548800³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4825785189 + ... + 4825786011.

It is an arithmetic number, because the mean of its divisors is an integer number (11878215440).

It is a 1-persistent number, because it is pandigital, but 2⋅3971621548800 = 7943243097600 is not.

Almost surely, 2^{3971621548800} is an apocalyptic number.

3971621548800 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 3971621548800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7697083605120).

3971621548800 is an abundant number, since it is smaller than the sum of its proper divisors (11422545661440).

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

3971621548800 is a wasteful number, since it uses less digits than its factorization.

3971621548800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 3971621548800 in words is "three trillion, nine hundred seventy-one billion, six hundred twenty-one million, five hundred forty-eight thousand, eight hundred".