3846581568000 has 1280 divisors, whose sum is σ = 15456799987200. Its totient is φ = 939058790400.

The previous prime is 3846581567971. The next prime is 3846581568013. The reversal of 3846581568000 is 8651856483.

3846581568000 is a `hidden beast` number, since 3 + 8 + 4 + 6 + 581 + 56 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1086910231 + ... + 1086913769.

It is an arithmetic number, because the mean of its divisors is an integer number (12075624990).

Almost surely, 2^{3846581568000} is an apocalyptic number.

3846581568000 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 3846581568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7728399993600).

3846581568000 is an abundant number, since it is smaller than the sum of its proper divisors (11610218419200).

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

3846581568000 is a wasteful number, since it uses less digits than its factorization.

3846581568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3635 (or 3603 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 3846581568000 in words is "three trillion, eight hundred forty-six billion, five hundred eighty-one million, five hundred sixty-eight thousand".