3856114512 has 240 divisors, whose sum is σ = 11585508480. Its totient is φ = 1241049600.

The previous prime is 3856114511. The next prime is 3856114517. The reversal of 3856114512 is 2154116583.

3856114512 is a `hidden beast` number, since 3 + 85 + 61 + 1 + 4 + 512 = 666.

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

Its product of digits (28800) is a multiple of the sum of its prime factors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3856114511) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 16838814 + ... + 16839042.

It is an arithmetic number, because the mean of its divisors is an integer number (48272952).

Almost surely, 2^3856114512 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 3856114512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5792754240).

3856114512 is an abundant number, since it is smaller than the sum of its proper divisors (7729393968).

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

3856114512 is a wasteful number, since it uses less digits than its factorization.

3856114512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 366 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 3856114512 is about 62097.6208239897. The cubic root of 3856114512 is about 1568.1344918826.

The spelling of 3856114512 in words is "three billion, eight hundred fifty-six million, one hundred fourteen thousand, five hundred twelve".