3825682498176 has 384 divisors, whose sum is σ = 13340409048000. Its totient is φ = 959417303040.

The previous prime is 3825682498171. The next prime is 3825682498199. The reversal of 3825682498176 is 6718942865283.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 3825682498176.

It is not an unprimeable number, because it can be changed into a prime (3825682498171) 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 47 ways as a sum of consecutive naturals, for example, 5683620 + ... + 6320988.

Almost surely, 2^{3825682498176} 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 3825682498176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6670204524000).

3825682498176 is an abundant number, since it is smaller than the sum of its proper divisors (9514726549824).

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

3825682498176 is a wasteful number, since it uses less digits than its factorization.

3825682498176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637440 (or 637421 counting only the distinct ones).

The product of its digits is 278691840, while the sum is 69.

The spelling of 3825682498176 in words is "three trillion, eight hundred twenty-five billion, six hundred eighty-two million, four hundred ninety-eight thousand, one hundred seventy-six".