3615861484800 has 1944 divisors, whose sum is σ = 14795134472664. Its totient is φ = 839154401280.

The previous prime is 3615861484787. The next prime is 3615861484843. The reversal of 3615861484800 is 84841685163.

3615861484800 is a `hidden beast` number, since 3 + 6 + 1 + 5 + 86 + 1 + 484 + 80 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 568853842176 + 3047007642624 = 754224^2 + 1745568^2 .

It is a congruent number.

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 215 ways as a sum of consecutive naturals, for example, 18735033504 + ... + 18735033696.

It is an arithmetic number, because the mean of its divisors is an integer number (7610665881).

Almost surely, 2^{3615861484800} is an apocalyptic number.

3615861484800 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 3615861484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7397567236332).

3615861484800 is an abundant number, since it is smaller than the sum of its proper divisors (11179272987864).

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

3615861484800 is a wasteful number, since it uses less digits than its factorization.

3615861484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 3615861484800 in words is "three trillion, six hundred fifteen billion, eight hundred sixty-one million, four hundred eighty-four thousand, eight hundred".