3783968491008 has 160 divisors (see below), whose sum is σ = 10684262413440. Its totient is φ = 1185954037760.

The previous prime is 3783968491003. The next prime is 3783968491027. The reversal of 3783968491008 is 8001948693873.

It is a self number, because there is not a number n which added to its sum of digits gives 3783968491008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3783968491003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26537023 + ... + 26679233.

It is an arithmetic number, because the mean of its divisors is an integer number (66776640084).

Almost surely, 2^{3783968491008} 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 3783968491008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5342131206720).

3783968491008 is an abundant number, since it is smaller than the sum of its proper divisors (6900293922432).

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

3783968491008 is a wasteful number, since it uses less digits than its factorization.

3783968491008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143268 (or 143252 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 66.

The spelling of 3783968491008 in words is "three trillion, seven hundred eighty-three billion, nine hundred sixty-eight million, four hundred ninety-one thousand, eight".