3825769095680 has 320 divisors, whose sum is σ = 10899202406400. Its totient is φ = 1286927695872.

The previous prime is 3825769095649. The next prime is 3825769095697. The reversal of 3825769095680 is 865909675283.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 3825769095680.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46497137 + ... + 46579343.

It is an arithmetic number, because the mean of its divisors is an integer number (34060007520).

Almost surely, 2^{3825769095680} 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 3825769095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5449601203200).

3825769095680 is an abundant number, since it is smaller than the sum of its proper divisors (7073433310720).

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

3825769095680 is an frugal number, since it uses more digits than its factorization.

3825769095680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82304 (or 82274 counting only the distinct ones).

The product of its (nonzero) digits is 195955200, while the sum is 68.

The spelling of 3825769095680 in words is "three trillion, eight hundred twenty-five billion, seven hundred sixty-nine million, ninety-five thousand, six hundred eighty".