3844414642464 has 288 divisors, whose sum is σ = 12634391689920. Its totient is φ = 1095889305600.

The previous prime is 3844414642441. The next prime is 3844414642477. The reversal of 3844414642464 is 4642464144483.

It is a happy number.

3844414642464 is a `hidden beast` number, since 3 + 84 + 4 + 41 + 4 + 64 + 2 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3844414642464.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112488099 + ... + 112522269.

It is an arithmetic number, because the mean of its divisors is an integer number (43869415590).

Almost surely, 2^{3844414642464} is an apocalyptic number.

3844414642464 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 3844414642464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6317195844960).

3844414642464 is an abundant number, since it is smaller than the sum of its proper divisors (8789977047456).

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

3844414642464 is a wasteful number, since it uses less digits than its factorization.

3844414642464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36304 (or 36293 counting only the distinct ones).

The product of its digits is 28311552, while the sum is 54.

The spelling of 3844414642464 in words is "three trillion, eight hundred forty-four billion, four hundred fourteen million, six hundred forty-two thousand, four hundred sixty-four".