3861923788800 has 3456 divisors, whose sum is σ = 18505290585600. Its totient is φ = 780337152000.

The previous prime is 3861923788787. The next prime is 3861923788831. The reversal of 3861923788800 is 88873291683.

3861923788800 is a `hidden beast` number, since 3 + 8 + 619 + 2 + 3 + 7 + 8 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 52903065564 + ... + 52903065636.

It is an arithmetic number, because the mean of its divisors is an integer number (5354540100).

Almost surely, 2^{3861923788800} is an apocalyptic number.

3861923788800 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 3861923788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9252645292800).

3861923788800 is an abundant number, since it is smaller than the sum of its proper divisors (14643366796800).

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

3861923788800 is a wasteful number, since it uses less digits than its factorization.

3861923788800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 3861923788800 in words is "three trillion, eight hundred sixty-one billion, nine hundred twenty-three million, seven hundred eighty-eight thousand, eight hundred".