3582381067641 has 40 divisors (see below), whose sum is σ = 5358692237184. Its totient is φ = 2385027944640.

The previous prime is 3582381067621. The next prime is 3582381067691. The reversal of 3582381067641 is 1467601832853.

3582381067641 is a `hidden beast` number, since 3 + 582 + 3 + 8 + 10 + 6 + 7 + 6 + 41 = 666.

It is not a de Polignac number, because 3582381067641 - 2⁵ = 3582381067609 is a prime.

It is a super-2 number, since 2×3582381067641² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3582381067621) by changing a digit.

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, 192768036 + ... + 192786618.

Almost surely, 2^{3582381067641} is an apocalyptic number.

It is an amenable number.

3582381067641 is a deficient number, since it is larger than the sum of its proper divisors (1776311169543).

3582381067641 is a wasteful number, since it uses less digits than its factorization.

3582381067641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21683 (or 21674 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 3582381067641 in words is "three trillion, five hundred eighty-two billion, three hundred eighty-one million, sixty-seven thousand, six hundred forty-one".