3544717763072 has 80 divisors (see below), whose sum is σ = 7150925168640. Its totient is φ = 1755264172032.

The previous prime is 3544717763071. The next prime is 3544717763141. The reversal of 3544717763072 is 2703677174453.

It is a junction number, because it is equal to n+sod(n) for n = 3544717762999 and 3544717763017.

It is not an unprimeable number, because it can be changed into a prime (3544717763071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73973873 + ... + 74021775.

It is an arithmetic number, because the mean of its divisors is an integer number (89386564608).

Almost surely, 2^{3544717763072} is an apocalyptic number.

3544717763072 is a gapful number since it is divisible by the number (32) 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 3544717763072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3575462584320).

3544717763072 is an abundant number, since it is smaller than the sum of its proper divisors (3606207405568).

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

3544717763072 is a wasteful number, since it uses less digits than its factorization.

3544717763072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49313 (or 49297 counting only the distinct ones).

The product of its (nonzero) digits is 20744640, while the sum is 56.

The spelling of 3544717763072 in words is "three trillion, five hundred forty-four billion, seven hundred seventeen million, seven hundred sixty-three thousand, seventy-two".