3826060003584 has 1728 divisors, whose sum is σ = 15454700352000. Its totient is φ = 898948399104.

The previous prime is 3826060003573. The next prime is 3826060003637. The reversal of 3826060003584 is 4853000606283.

It is a happy number.

3826060003584 is a `hidden beast` number, since 3 + 8 + 2 + 6 + 0 + 60 + 0 + 0 + 3 + 584 = 666.

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, 3318351552 + ... + 3318352704.

Almost surely, 2^{3826060003584} is an apocalyptic number.

3826060003584 is a gapful number since it is divisible by the number (34) 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 3826060003584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7727350176000).

3826060003584 is an abundant number, since it is smaller than the sum of its proper divisors (11628640348416).

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

3826060003584 is a wasteful number, since it uses less digits than its factorization.

3826060003584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 3826060003584 in words is "three trillion, eight hundred twenty-six billion, sixty million, three thousand, five hundred eighty-four".