3839844040704 has 675 divisors, whose sum is σ = 13399862182707. Its totient is φ = 1097098297344.

The previous prime is 3839844040699. The next prime is 3839844040727. The reversal of 3839844040704 is 4070404489383.

The square root of 3839844040704 is 1959552.

It is a perfect power (a square), and thus also a powerful number.

3839844040704 is a `hidden beast` number, since 3 + 8 + 3 + 98 + 440 + 40 + 70 + 4 = 666.

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

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 548549148669 + ... + 548549148675.

Almost surely, 2^{3839844040704} is an apocalyptic number.

3839844040704 is the 1959552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3839844040704

3839844040704 is an abundant number, since it is smaller than the sum of its proper divisors (9560018142003).

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

3839844040704 is an frugal number, since it uses more digits than its factorization.

3839844040704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 3839844040704 in words is "three trillion, eight hundred thirty-nine billion, eight hundred forty-four million, forty thousand, seven hundred four".