3842838889344 has 1344 divisors, whose sum is σ = 15229170437040. Its totient is φ = 953627738112.

The previous prime is 3842838889343. The next prime is 3842838889363. The reversal of 3842838889344 is 4439888382483.

3842838889344 is a `hidden beast` number, since 3 + 8 + 428 + 3 + 88 + 89 + 3 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3842838889343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1010473747 + ... + 1010477549.

Almost surely, 2^{3842838889344} is an apocalyptic number.

3842838889344 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 3842838889344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7614585218520).

3842838889344 is an abundant number, since it is smaller than the sum of its proper divisors (11386331547696).

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

3842838889344 is a wasteful number, since it uses less digits than its factorization.

3842838889344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3879 (or 3845 counting only the distinct ones).

The product of its digits is 1019215872, while the sum is 72.

The spelling of 3842838889344 in words is "three trillion, eight hundred forty-two billion, eight hundred thirty-eight million, eight hundred eighty-nine thousand, three hundred forty-four".