3856628160 has 1344 divisors, whose sum is σ = 18680094720. Its totient is φ = 729907200.

The previous prime is 3856628147. The next prime is 3856628183. The reversal of 3856628160 is 618266583.

3856628160 is a `hidden beast` number, since 3 + 8 + 5 + 6 + 628 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 124407345 + ... + 124407375.

It is an arithmetic number, because the mean of its divisors is an integer number (13898880).

Almost surely, 2^3856628160 is an apocalyptic number.

3856628160 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 3856628160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9340047360).

3856628160 is an abundant number, since it is smaller than the sum of its proper divisors (14823466560).

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

3856628160 is a wasteful number, since it uses less digits than its factorization.

3856628160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 3856628160 is about 62101.7564968979. The cubic root of 3856628160 is about 1568.2041157991.

The spelling of 3856628160 in words is "three billion, eight hundred fifty-six million, six hundred twenty-eight thousand, one hundred sixty".