3856043950080 has 480 divisors, whose sum is σ = 14341062113280. Its totient is φ = 866419998720.

The previous prime is 3856043950079. The next prime is 3856043950091. The reversal of 3856043950080 is 800593406583.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101479885 + ... + 101517875.

It is an arithmetic number, because the mean of its divisors is an integer number (29877212736).

Almost surely, 2^{3856043950080} is an apocalyptic number.

3856043950080 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 3856043950080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7170531056640).

3856043950080 is an abundant number, since it is smaller than the sum of its proper divisors (10485018163200).

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

3856043950080 is an equidigital number, since it uses as much as digits as its factorization.

3856043950080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38093 (or 38067 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 51.

The spelling of 3856043950080 in words is "three trillion, eight hundred fifty-six billion, forty-three million, nine hundred fifty thousand, eighty".