3888000000000 has 840 divisors, whose sum is σ = 14559109837272. Its totient is φ = 1036800000000.

The previous prime is 3887999999999. The next prime is 3888000000043. The reversal of 3888000000000 is 8883.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 777599999998 + ... + 777600000002.

Almost surely, 2^{3888000000000} is an apocalyptic number.

3888000000000 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 3888000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7279554918636).

3888000000000 is an abundant number, since it is smaller than the sum of its proper divisors (10671109837272).

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

3888000000000 is an frugal number, since it uses more digits than its factorization.

3888000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 3888000000000 its reverse (8883), we get a palindrome (3888000008883).

The spelling of 3888000000000 in words is "three trillion, eight hundred eighty-eight billion", and thus it is an aban number.