3544728097680 has 1600 divisors, whose sum is σ = 16365066854400. Its totient is φ = 688821719040.

The previous prime is 3544728097657. The next prime is 3544728097681. The reversal of 3544728097680 is 867908274453.

3544728097680 is a `hidden beast` number, since 3 + 5 + 4 + 472 + 80 + 9 + 7 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3544728097681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 748936594 + ... + 748941326.

It is an arithmetic number, because the mean of its divisors is an integer number (10228166784).

Almost surely, 2^{3544728097680} is an apocalyptic number.

3544728097680 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 3544728097680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8182533427200).

3544728097680 is an abundant number, since it is smaller than the sum of its proper divisors (12820338756720).

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

3544728097680 is a wasteful number, since it uses less digits than its factorization.

3544728097680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4874 (or 4859 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 3544728097680 in words is "three trillion, five hundred forty-four billion, seven hundred twenty-eight million, ninety-seven thousand, six hundred eighty".