3848027268096 has 352 divisors, whose sum is σ = 12455260700160. Its totient is φ = 1163886796800.

The previous prime is 3848027268089. The next prime is 3848027268097. The reversal of 3848027268096 is 6908627208483.

3848027268096 is a `hidden beast` number, since 3 + 8 + 480 + 2 + 7 + 2 + 68 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

It is not an unprimeable number, because it can be changed into a prime (3848027268097) 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 31 ways as a sum of consecutive naturals, for example, 166346451 + ... + 166369581.

Almost surely, 2^{3848027268096} is an apocalyptic number.

3848027268096 is a gapful number since it is divisible by the number (36) 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 3848027268096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6227630350080).

3848027268096 is an abundant number, since it is smaller than the sum of its proper divisors (8607233432064).

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

3848027268096 is a wasteful number, since it uses less digits than its factorization.

3848027268096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23718 (or 23694 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 3848027268096 in words is "three trillion, eight hundred forty-eight billion, twenty-seven million, two hundred sixty-eight thousand, ninety-six".