3856114080 has 768 divisors, whose sum is σ = 17618549760. Its totient is φ = 764411904.

The previous prime is 3856114069. The next prime is 3856114091. The reversal of 3856114080 is 804116583.

3856114080 is a `hidden beast` number, since 3 + 8 + 561 + 14 + 0 + 80 = 666.

3856114080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3856114069) and next prime (3856114091).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6682752 + ... + 6683328.

It is an arithmetic number, because the mean of its divisors is an integer number (22940820).

Almost surely, 2^3856114080 is an apocalyptic number.

3856114080 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 3856114080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8809274880).

3856114080 is an abundant number, since it is smaller than the sum of its proper divisors (13762435680).

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

3856114080 is a wasteful number, since it uses less digits than its factorization.

3856114080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 3856114080 is about 62097.6173455955. The cubic root of 3856114080 is about 1568.1344333233.

The spelling of 3856114080 in words is "three billion, eight hundred fifty-six million, one hundred fourteen thousand, eighty".