3546454855680 has 2080 divisors, whose sum is σ = 14951345523840. Its totient is φ = 794988380160.

The previous prime is 3546454855639. The next prime is 3546454855729. The reversal of 3546454855680 is 865584546453.

3546454855680 is a `hidden beast` number, since 3 + 5 + 4 + 6 + 4 + 548 + 5 + 5 + 6 + 80 = 666.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 18375413664 + ... + 18375413856.

Almost surely, 2^{3546454855680} is an apocalyptic number.

3546454855680 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 3546454855680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7475672761920).

3546454855680 is an abundant number, since it is smaller than the sum of its proper divisors (11404890668160).

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

3546454855680 is a wasteful number, since it uses less digits than its factorization.

3546454855680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 276480000, while the sum is 63.

The spelling of 3546454855680 in words is "three trillion, five hundred forty-six billion, four hundred fifty-four million, eight hundred fifty-five thousand, six hundred eighty".