3834988842048 has 448 divisors, whose sum is σ = 13344326392320. Its totient is φ = 943188738048.

The previous prime is 3834988842029. The next prime is 3834988842077. The reversal of 3834988842048 is 8402488894383.

3834988842048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32316390 + ... + 32434842.

It is an arithmetic number, because the mean of its divisors is an integer number (29786442840).

Almost surely, 2^{3834988842048} 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 3834988842048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6672163196160).

3834988842048 is an abundant number, since it is smaller than the sum of its proper divisors (9509337550272).

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

3834988842048 is a wasteful number, since it uses less digits than its factorization.

3834988842048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118614 (or 118604 counting only the distinct ones).

The product of its (nonzero) digits is 339738624, while the sum is 69.

The spelling of 3834988842048 in words is "three trillion, eight hundred thirty-four billion, nine hundred eighty-eight million, eight hundred forty-two thousand, forty-eight".