3444786685728 has 144 divisors (see below), whose sum is σ = 10219766880960. Its totient is φ = 1141385976576.

The previous prime is 3444786685723. The next prime is 3444786685817. The reversal of 3444786685728 is 8275866874443.

3444786685728 is a `hidden beast` number, since 3 + 4 + 4 + 47 + 8 + 6 + 6 + 8 + 572 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (3444786685723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27763 + ... + 2624946.

It is an arithmetic number, because the mean of its divisors is an integer number (70970603340).

Almost surely, 2^{3444786685728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3444786685728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5109883440480).

3444786685728 is an abundant number, since it is smaller than the sum of its proper divisors (6774980195232).

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

3444786685728 is a wasteful number, since it uses less digits than its factorization.

3444786685728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2652901 (or 2652881 counting only the distinct ones).

The product of its digits is 1734082560, while the sum is 72.

The spelling of 3444786685728 in words is "three trillion, four hundred forty-four billion, seven hundred eighty-six million, six hundred eighty-five thousand, seven hundred twenty-eight".