3821939334144 has 792 divisors, whose sum is σ = 12284938345680. Its totient is φ = 1184169590784.

The previous prime is 3821939334121. The next prime is 3821939334221. The reversal of 3821939334144 is 4414339391283.

3821939334144 is a `hidden beast` number, since 3 + 8 + 2 + 193 + 9 + 33 + 414 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12449313639 + ... + 12449313945.

It is an arithmetic number, because the mean of its divisors is an integer number (15511285790).

Almost surely, 2^{3821939334144} is an apocalyptic number.

3821939334144 is a gapful number since it is divisible by the number (34) 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 3821939334144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6142469172840).

3821939334144 is an abundant number, since it is smaller than the sum of its proper divisors (8462999011536).

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

3821939334144 is an equidigital number, since it uses as much as digits as its factorization.

3821939334144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 438 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The spelling of 3821939334144 in words is "three trillion, eight hundred twenty-one billion, nine hundred thirty-nine million, three hundred thirty-four thousand, one hundred forty-four".