3871200000000 has 432 divisors, whose sum is σ = 12908841046920. Its totient is φ = 1031680000000.

The previous prime is 3871199999963. The next prime is 3871200000001. The reversal of 3871200000000 is 21783.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3871200000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2399999194 + ... + 2400000806.

Almost surely, 2^{3871200000000} is an apocalyptic number.

3871200000000 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 3871200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6454420523460).

3871200000000 is an abundant number, since it is smaller than the sum of its proper divisors (9037641046920).

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

3871200000000 is an frugal number, since it uses more digits than its factorization.

3871200000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

Adding to 3871200000000 its reverse (21783), we get a palindrome (3871200021783).

The spelling of 3871200000000 in words is "three trillion, eight hundred seventy-one billion, two hundred million", and thus it is an aban number.