3848126688000 has 1728 divisors, whose sum is σ = 16966666708992. Its totient is φ = 818225971200.

The previous prime is 3848126687971. The next prime is 3848126688017. The reversal of 3848126688000 is 8866218483.

3848126688000 is a `hidden beast` number, since 3 + 8 + 481 + 26 + 68 + 80 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1715614879 + ... + 1715617121.

It is an arithmetic number, because the mean of its divisors is an integer number (9818672864).

Almost surely, 2^{3848126688000} is an apocalyptic number.

3848126688000 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 3848126688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8483333354496).

3848126688000 is an abundant number, since it is smaller than the sum of its proper divisors (13118540020992).

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

3848126688000 is a wasteful number, since it uses less digits than its factorization.

3848126688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2347 (or 2320 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 3848126688000 in words is "three trillion, eight hundred forty-eight billion, one hundred twenty-six million, six hundred eighty-eight thousand".