3845319284736 has 192 divisors, whose sum is σ = 11405179749600. Its totient is φ = 1280150175744.

The previous prime is 3845319284699. The next prime is 3845319284761. The reversal of 3845319284736 is 6374829135483.

It is a happy number.

3845319284736 is a `hidden beast` number, since 3 + 8 + 4 + 5 + 319 + 284 + 7 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44027286 + ... + 44114538.

Almost surely, 2^{3845319284736} is an apocalyptic number.

3845319284736 is a gapful number since it is divisible by the number (36) 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 3845319284736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5702589874800).

3845319284736 is an abundant number, since it is smaller than the sum of its proper divisors (7559860464864).

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

3845319284736 is an equidigital number, since it uses as much as digits as its factorization.

3845319284736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88081 (or 88055 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 63.

The spelling of 3845319284736 in words is "three trillion, eight hundred forty-five billion, three hundred nineteen million, two hundred eighty-four thousand, seven hundred thirty-six".