3856306942656 has 336 divisors, whose sum is σ = 12984796528704. Its totient is φ = 1071440068608.

The previous prime is 3856306942651. The next prime is 3856306942673. The reversal of 3856306942656 is 6562496036583.

3856306942656 is a `hidden beast` number, since 3 + 8 + 563 + 0 + 6 + 9 + 4 + 2 + 65 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×3856306942656² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 3856306942593 and 3856306942602.

It is not an unprimeable number, because it can be changed into a prime (3856306942651) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24067800 + ... + 24227496.

It is an arithmetic number, because the mean of its divisors is an integer number (38645227764).

Almost surely, 2^{3856306942656} is an apocalyptic number.

3856306942656 is a gapful number since it is divisible by the number (36) 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 3856306942656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6492398264352).

3856306942656 is an abundant number, since it is smaller than the sum of its proper divisors (9128489586048).

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

3856306942656 is a wasteful number, since it uses less digits than its factorization.

3856306942656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159888 (or 159875 counting only the distinct ones).

The product of its (nonzero) digits is 167961600, while the sum is 63.

The spelling of 3856306942656 in words is "three trillion, eight hundred fifty-six billion, three hundred six million, nine hundred forty-two thousand, six hundred fifty-six".