3840244941600 has 216 divisors, whose sum is σ = 13543600068180. Its totient is φ = 1023918888960.

The previous prime is 3840244941563. The next prime is 3840244941619. The reversal of 3840244941600 is 61494420483.

3840244941600 is a `hidden beast` number, since 3 + 8 + 40 + 2 + 449 + 4 + 160 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1958398727184 + 1881846214416 = 1399428^2 + 1371804^2 .

It is a super-3 number, since 3×3840244941600³ (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 (45).

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 35 ways as a sum of consecutive naturals, for example, 56046562 + ... + 56115038.

Almost surely, 2^{3840244941600} is an apocalyptic number.

3840244941600 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 3840244941600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6771800034090).

3840244941600 is an abundant number, since it is smaller than the sum of its proper divisors (9703355126580).

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

3840244941600 is a wasteful number, since it uses less digits than its factorization.

3840244941600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76292 (or 76276 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 3840244941600 in words is "three trillion, eight hundred forty billion, two hundred forty-four million, nine hundred forty-one thousand, six hundred".