3795444698656 has 192 divisors, whose sum is σ = 8268430786560. Its totient is φ = 1704270274560.

The previous prime is 3795444698651. The next prime is 3795444698659. The reversal of 3795444698656 is 6568964445973.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3795444698651) 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 31 ways as a sum of consecutive naturals, for example, 1182748380 + ... + 1182751588.

It is an arithmetic number, because the mean of its divisors is an integer number (43064743680).

Almost surely, 2^{3795444698656} 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 3795444698656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4134215393280).

3795444698656 is an abundant number, since it is smaller than the sum of its proper divisors (4472986087904).

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

3795444698656 is a wasteful number, since it uses less digits than its factorization.

3795444698656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3787 (or 3779 counting only the distinct ones).

The product of its digits is 4702924800, while the sum is 76.

The spelling of 3795444698656 in words is "three trillion, seven hundred ninety-five billion, four hundred forty-four million, six hundred ninety-eight thousand, six hundred fifty-six".