3846400768 has 72 divisors (see below), whose sum is σ = 9156204288. Its totient is φ = 1576768512.

The previous prime is 3846400763. The next prime is 3846400777. The reversal of 3846400768 is 8670046483.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (3846400763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5446 + ... + 87877.

It is an arithmetic number, because the mean of its divisors is an integer number (127169504).

Almost surely, 2^3846400768 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 3846400768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4578102144).

3846400768 is an abundant number, since it is smaller than the sum of its proper divisors (5309803520).

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

3846400768 is an equidigital number, since it uses as much as digits as its factorization.

3846400768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93369 (or 93355 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 46.

The square root of 3846400768 is about 62019.3580102213. The cubic root of 3846400768 is about 1566.8166484651.

The spelling of 3846400768 in words is "three billion, eight hundred forty-six million, four hundred thousand, seven hundred sixty-eight".