3681105300288 has 280 divisors, whose sum is σ = 11804074748928. Its totient is φ = 1127564043264.

The previous prime is 3681105300263. The next prime is 3681105300307. The reversal of 3681105300288 is 8820035011863.

3681105300288 is a `hidden beast` number, since 3 + 6 + 81 + 10 + 530 + 0 + 28 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 14905945 + ... + 15150887.

Almost surely, 2^{3681105300288} 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 3681105300288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5902037374464).

3681105300288 is an abundant number, since it is smaller than the sum of its proper divisors (8122969448640).

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

3681105300288 is a wasteful number, since it uses less digits than its factorization.

3681105300288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245203 (or 245184 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 3681105300288 in words is "three trillion, six hundred eighty-one billion, one hundred five million, three hundred thousand, two hundred eighty-eight".