3808800000000 has 972 divisors, whose sum is σ = 14374482386355. Its totient is φ = 971520000000.

The previous prime is 3808799999969. The next prime is 3808800000037. The reversal of 3808800000000 is 88083.

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 can be written as a sum of positive squares in 5 ways, for example, as 3630945494016 + 177854505984 = 1905504^2 + 421728^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1380000.

It is a self number, because there is not a number n which added to its sum of digits gives 3808800000000.

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 80 ways as a sum of consecutive naturals, for example, 165599999989 + ... + 165600000011.

Almost surely, 2^{3808800000000} is an apocalyptic number.

3808800000000 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 3808800000000

3808800000000 is an abundant number, since it is smaller than the sum of its proper divisors (10565682386355).

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

3808800000000 is an frugal number, since it uses more digits than its factorization.

3808800000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 33 counting only the distinct ones).

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

Adding to 3808800000000 its reverse (88083), we get a palindrome (3808800088083).

The spelling of 3808800000000 in words is "three trillion, eight hundred eight billion, eight hundred million", and thus it is an aban number.