3842838704640 has 960 divisors, whose sum is σ = 14020366567680. Its totient is φ = 895742115840.

The previous prime is 3842838704557. The next prime is 3842838704701. The reversal of 3842838704640 is 464078382483.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3253884850 + ... + 3253886030.

It is an arithmetic number, because the mean of its divisors is an integer number (14604548508).

Almost surely, 2^{3842838704640} is an apocalyptic number.

3842838704640 is a gapful number since it is divisible by the number (30) 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 3842838704640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7010183283840).

3842838704640 is an abundant number, since it is smaller than the sum of its proper divisors (10177527863040).

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

3842838704640 is a wasteful number, since it uses less digits than its factorization.

3842838704640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 57.

The spelling of 3842838704640 in words is "three trillion, eight hundred forty-two billion, eight hundred thirty-eight million, seven hundred four thousand, six hundred forty".