3844864247040 has 2880 divisors, whose sum is σ = 16443286675200. Its totient is φ = 850790449152.

The previous prime is 3844864247017. The next prime is 3844864247093. The reversal of 3844864247040 is 407424684483.

3844864247040 is a `hidden beast` number, since 3 + 84 + 486 + 4 + 2 + 47 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-3 number, since 3×3844864247040³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 319 ways as a sum of consecutive naturals, for example, 35933310667 + ... + 35933310773.

It is an arithmetic number, because the mean of its divisors is an integer number (5709474540).

Almost surely, 2^{3844864247040} is an apocalyptic number.

3844864247040 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 3844864247040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8221643337600).

3844864247040 is an abundant number, since it is smaller than the sum of its proper divisors (12598422428160).

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

3844864247040 is a wasteful number, since it uses less digits than its factorization.

3844864247040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 54.

It can be divided in two parts, 3844864 and 247040, that added together give a palindrome (4091904).

The spelling of 3844864247040 in words is "three trillion, eight hundred forty-four billion, eight hundred sixty-four million, two hundred forty-seven thousand, forty".