3546666898768 has 80 divisors (see below), whose sum is σ = 7904671390080. Its totient is φ = 1510067040768.

The previous prime is 3546666898763. The next prime is 3546666898771. The reversal of 3546666898768 is 8678986666453.

It is a junction number, because it is equal to n+sod(n) for n = 3546666898691 and 3546666898700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3546666898763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137652255 + ... + 137678017.

It is an arithmetic number, because the mean of its divisors is an integer number (98808392376).

Almost surely, 2^{3546666898768} 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 3546666898768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3952335695040).

3546666898768 is an abundant number, since it is smaller than the sum of its proper divisors (4358004491312).

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

3546666898768 is a wasteful number, since it uses less digits than its factorization.

3546666898768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33764 (or 33758 counting only the distinct ones).

The product of its digits is 15049359360, while the sum is 82.

The spelling of 3546666898768 in words is "three trillion, five hundred forty-six billion, six hundred sixty-six million, eight hundred ninety-eight thousand, seven hundred sixty-eight".