3855116160 has 768 divisors, whose sum is σ = 16535016000. Its totient is φ = 845365248.

The previous prime is 3855116159. The next prime is 3855116183. The reversal of 3855116160 is 616115583.

3855116160 is a `hidden beast` number, since 3 + 85 + 511 + 6 + 1 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24554802 + ... + 24554958.

Almost surely, 2^3855116160 is an apocalyptic number.

3855116160 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 3855116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8267508000).

3855116160 is an abundant number, since it is smaller than the sum of its proper divisors (12679899840).

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

3855116160 is a wasteful number, since it uses less digits than its factorization.

3855116160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 3855116160 is about 62089.5817347806. The cubic root of 3855116160 is about 1567.9991496594. Note that the first 3 decimals are identical.

The spelling of 3855116160 in words is "three billion, eight hundred fifty-five million, one hundred sixteen thousand, one hundred sixty".