3586461121152 has 1536 divisors, whose sum is σ = 13922108928000. Its totient is φ = 893143646208.

The previous prime is 3586461121123. The next prime is 3586461121237. The reversal of 3586461121152 is 2511211646853.

3586461121152 is a `hidden beast` number, since 3 + 5 + 8 + 6 + 4 + 611 + 21 + 1 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3586461121098 and 3586461121107.

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 191 ways as a sum of consecutive naturals, for example, 5793959499 + ... + 5793960117.

It is an arithmetic number, because the mean of its divisors is an integer number (9063873000).

Almost surely, 2^{3586461121152} is an apocalyptic number.

3586461121152 is a gapful number since it is divisible by the number (32) 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 3586461121152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6961054464000).

3586461121152 is an abundant number, since it is smaller than the sum of its proper divisors (10335647806848).

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

3586461121152 is a wasteful number, since it uses less digits than its factorization.

3586461121152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 756 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The spelling of 3586461121152 in words is "three trillion, five hundred eighty-six billion, four hundred sixty-one million, one hundred twenty-one thousand, one hundred fifty-two".