3845317069440 has 1728 divisors, whose sum is σ = 17507965644000. Its totient is φ = 798556631040.

The previous prime is 3845317069313. The next prime is 3845317069457. The reversal of 3845317069440 is 449607135483.

3845317069440 is a `hidden beast` number, since 3 + 8 + 4 + 531 + 7 + 0 + 69 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

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 215 ways as a sum of consecutive naturals, for example, 2263281711 + ... + 2263283409.

Almost surely, 2^{3845317069440} is an apocalyptic number.

3845317069440 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 3845317069440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8753982822000).

3845317069440 is an abundant number, since it is smaller than the sum of its proper divisors (13662648574560).

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

3845317069440 is an equidigital number, since it uses as much as digits as its factorization.

3845317069440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767 (or 1727 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 3845317069440 in words is "three trillion, eight hundred forty-five billion, three hundred seventeen million, sixty-nine thousand, four hundred forty".