3554887680000 has 900 divisors, whose sum is σ = 13593441721860. Its totient is φ = 891813888000.

The previous prime is 3554887679957. The next prime is 3554887680007. The reversal of 3554887680000 is 867884553.

3554887680000 is a `hidden beast` number, since 3 + 554 + 8 + 8 + 7 + 6 + 80 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 3112034697216 + 442852982784 = 1764096^2 + 665472^2 .

It is a tau number, because it is divible by the number of its divisors (900).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3554887680007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1566718866 + ... + 1566721134.

Almost surely, 2^{3554887680000} is an apocalyptic number.

3554887680000 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 3554887680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6796720860930).

3554887680000 is an abundant number, since it is smaller than the sum of its proper divisors (10038554041860).

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

3554887680000 is an equidigital number, since it uses as much as digits as its factorization.

3554887680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2340 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 3554887680000 in words is "three trillion, five hundred fifty-four billion, eight hundred eighty-seven million, six hundred eighty thousand".