3846867456000 has 416 divisors, whose sum is σ = 12821916182400. Its totient is φ = 1024140902400.

The previous prime is 3846867455953. The next prime is 3846867456001. The reversal of 3846867456000 is 6547686483.

It is not an unprimeable number, because it can be changed into a prime (3846867456001) 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 31 ways as a sum of consecutive naturals, for example, 1135102306 + ... + 1135105694.

It is an arithmetic number, because the mean of its divisors is an integer number (30821913900).

Almost surely, 2^{3846867456000} is an apocalyptic number.

3846867456000 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 3846867456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6410958091200).

3846867456000 is an abundant number, since it is smaller than the sum of its proper divisors (8975048726400).

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

3846867456000 is an equidigital number, since it uses as much as digits as its factorization.

3846867456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4170 (or 4138 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 57.

The spelling of 3846867456000 in words is "three trillion, eight hundred forty-six billion, eight hundred sixty-seven million, four hundred fifty-six thousand".