3826746391248 has 480 divisors, whose sum is σ = 12800540712960. Its totient is φ = 1095794542080.

The previous prime is 3826746391241. The next prime is 3826746391261. The reversal of 3826746391248 is 8421936476283.

3826746391248 is a `hidden beast` number, since 3 + 8 + 2 + 67 + 463 + 91 + 24 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3826746391241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58259961 + ... + 58325607.

It is an arithmetic number, because the mean of its divisors is an integer number (26667793152).

Almost surely, 2^{3826746391248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3826746391248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6400270356480).

3826746391248 is an abundant number, since it is smaller than the sum of its proper divisors (8973794321712).

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

3826746391248 is a wasteful number, since it uses less digits than its factorization.

3826746391248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65757 (or 65739 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 63.

The spelling of 3826746391248 in words is "three trillion, eight hundred twenty-six billion, seven hundred forty-six million, three hundred ninety-one thousand, two hundred forty-eight".