3825835845120 has 960 divisors, whose sum is σ = 14534080045056. Its totient is φ = 925893918720.

The previous prime is 3825835845109. The next prime is 3825835845121. The reversal of 3825835845120 is 215485385283.

It is a happy number.

3825835845120 is a `hidden beast` number, since 3 + 8 + 2 + 5 + 8 + 3 + 584 + 51 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3825835845121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5913192637 + ... + 5913193283.

Almost surely, 2^{3825835845120} is an apocalyptic number.

3825835845120 is a gapful number since it is divisible by the number (30) 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 3825835845120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7267040022528).

3825835845120 is an abundant number, since it is smaller than the sum of its proper divisors (10708244199936).

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

3825835845120 is a wasteful number, since it uses less digits than its factorization.

3825835845120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 3825835845120 in words is "three trillion, eight hundred twenty-five billion, eight hundred thirty-five million, eight hundred forty-five thousand, one hundred twenty".