3825580465350 has 576 divisors, whose sum is σ = 12546544398336. Its totient is φ = 816729661440.

The previous prime is 3825580465337. The next prime is 3825580465393. The reversal of 3825580465350 is 535640855283.

It is a happy number.

3825580465350 is a `hidden beast` number, since 3 + 8 + 2 + 5 + 580 + 4 + 6 + 5 + 3 + 50 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1896667542 + ... + 1896669558.

It is an arithmetic number, because the mean of its divisors is an integer number (21782195136).

Almost surely, 2^{3825580465350} is an apocalyptic number.

3825580465350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3825580465350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6273272199168).

3825580465350 is an abundant number, since it is smaller than the sum of its proper divisors (8720963932986).

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

3825580465350 is a wasteful number, since it uses less digits than its factorization.

3825580465350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2669 (or 2661 counting only the distinct ones).

The product of its (nonzero) digits is 17280000, while the sum is 54.

The spelling of 3825580465350 in words is "three trillion, eight hundred twenty-five billion, five hundred eighty million, four hundred sixty-five thousand, three hundred fifty".