3838011781824 has 1008 divisors, whose sum is σ = 13594316037120. Its totient is φ = 1063331297280.

The previous prime is 3838011781811. The next prime is 3838011781831. The reversal of 3838011781824 is 4281871108383.

3838011781824 is a `hidden beast` number, since 3 + 8 + 380 + 11 + 78 + 182 + 4 = 666.

3838011781824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1790951697 + ... + 1790953839.

It is an arithmetic number, because the mean of its divisors is an integer number (13486424640).

Almost surely, 2^{3838011781824} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3838011781824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6797158018560).

3838011781824 is an abundant number, since it is smaller than the sum of its proper divisors (9756304255296).

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

3838011781824 is a wasteful number, since it uses less digits than its factorization.

3838011781824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2248 (or 2207 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 3838011781824 in words is "three trillion, eight hundred thirty-eight billion, eleven million, seven hundred eighty-one thousand, eight hundred twenty-four".