3876872172800 has 216 divisors, whose sum is σ = 10471050539040. Its totient is φ = 1409389977600.

The previous prime is 3876872172799. The next prime is 3876872172809. The reversal of 3876872172800 is 82712786783.

It is a self number, because there is not a number n which added to its sum of digits gives 3876872172800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3876872172809) 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 23 ways as a sum of consecutive naturals, for example, 473999111 + ... + 474007289.

Almost surely, 2^{3876872172800} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3876872172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5235525269520).

3876872172800 is an abundant number, since it is smaller than the sum of its proper divisors (6594178366240).

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

3876872172800 is a wasteful number, since it uses less digits than its factorization.

3876872172800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14949 (or 14930 counting only the distinct ones).

The product of its (nonzero) digits is 12644352, while the sum is 59.

The spelling of 3876872172800 in words is "three trillion, eight hundred seventy-six billion, eight hundred seventy-two million, one hundred seventy-two thousand, eight hundred".