3846921990912 has 2304 divisors, whose sum is σ = 15950091386880. Its totient is φ = 882524160000.

The previous prime is 3846921990881. The next prime is 3846921990929. The reversal of 3846921990912 is 2190991296483.

3846921990912 is a `hidden beast` number, since 384 + 69 + 2 + 199 + 0 + 9 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 3846921990912.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 20140952737 + ... + 20140952927.

It is an arithmetic number, because the mean of its divisors is an integer number (6922782720).

Almost surely, 2^{3846921990912} is an apocalyptic number.

3846921990912 is a gapful number since it is divisible by the number (32) 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 3846921990912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7975045693440).

3846921990912 is an abundant number, since it is smaller than the sum of its proper divisors (12103169395968).

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

3846921990912 is a wasteful number, since it uses less digits than its factorization.

3846921990912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 63.

It can be divided in two parts, 384 and 6921990912, that added together give a palindrome (6921991296).

The spelling of 3846921990912 in words is "three trillion, eight hundred forty-six billion, nine hundred twenty-one million, nine hundred ninety thousand, nine hundred twelve".