3544736854560 has 192 divisors, whose sum is σ = 12182218280064. Its totient is φ = 859244544000.

The previous prime is 3544736854537. The next prime is 3544736854583. The reversal of 3544736854560 is 654586374453.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3544736854537) and next prime (3544736854583).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 3544736854494 and 3544736854503.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64921992 + ... + 64976568.

It is an arithmetic number, because the mean of its divisors is an integer number (63449053542).

Almost surely, 2^{3544736854560} is an apocalyptic number.

3544736854560 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 3544736854560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6091109140032).

3544736854560 is an abundant number, since it is smaller than the sum of its proper divisors (8637481425504).

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

3544736854560 is a wasteful number, since it uses less digits than its factorization.

3544736854560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66907 (or 66899 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 60.

The spelling of 3544736854560 in words is "three trillion, five hundred forty-four billion, seven hundred thirty-six million, eight hundred fifty-four thousand, five hundred sixty".