3991391164800 has 1152 divisors, whose sum is σ = 16651117296000. Its totient is φ = 930721259520.

The previous prime is 3991391164759. The next prime is 3991391164807. The reversal of 3991391164800 is 84611931993.

3991391164800 is a `hidden beast` number, since 3 + 9 + 91 + 391 + 164 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3991391164807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 277423207 + ... + 277437593.

It is an arithmetic number, because the mean of its divisors is an integer number (14454094875).

Almost surely, 2^{3991391164800} is an apocalyptic number.

3991391164800 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 3991391164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8325558648000).

3991391164800 is an abundant number, since it is smaller than the sum of its proper divisors (12659726131200).

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

3991391164800 is a wasteful number, since it uses less digits than its factorization.

3991391164800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14465 (or 14429 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 3991391164800 in words is "three trillion, nine hundred ninety-one billion, three hundred ninety-one million, one hundred sixty-four thousand, eight hundred".