3582675063968 has 576 divisors, whose sum is σ = 10207488170880. Its totient is φ = 1213354598400.

The previous prime is 3582675063967. The next prime is 3582675064013. The reversal of 3582675063968 is 8693605762853.

It is a super-2 number, since 2×3582675063968² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3582675063898 and 3582675063907.

It is not an unprimeable number, because it can be changed into a prime (3582675063967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 737021858 + ... + 737026718.

It is an arithmetic number, because the mean of its divisors is an integer number (17721333630).

Almost surely, 2^{3582675063968} is an apocalyptic number.

3582675063968 is a gapful number since it is divisible by the number (38) 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 3582675063968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5103744085440).

3582675063968 is an abundant number, since it is smaller than the sum of its proper divisors (6624813106912).

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

3582675063968 is a wasteful number, since it uses less digits than its factorization.

3582675063968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5101 (or 5086 counting only the distinct ones).

The product of its (nonzero) digits is 391910400, while the sum is 68.

The spelling of 3582675063968 in words is "three trillion, five hundred eighty-two billion, six hundred seventy-five million, sixty-three thousand, nine hundred sixty-eight".