3804639721344 has 512 divisors, whose sum is σ = 14007593088000. Its totient is φ = 987665080320.

The previous prime is 3804639721343. The next prime is 3804639721387. The reversal of 3804639721344 is 4431279364083.

It is a happy number.

3804639721344 is a `hidden beast` number, since 3 + 80 + 46 + 397 + 2 + 134 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3804639721343) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 716636962 + ... + 716642270.

It is an arithmetic number, because the mean of its divisors is an integer number (27358580250).

Almost surely, 2^{3804639721344} 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 3804639721344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7003796544000).

3804639721344 is an abundant number, since it is smaller than the sum of its proper divisors (10202953366656).

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

3804639721344 is a wasteful number, since it uses less digits than its factorization.

3804639721344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8043 (or 8025 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 3804639721344 in words is "three trillion, eight hundred four billion, six hundred thirty-nine million, seven hundred twenty-one thousand, three hundred forty-four".