3912068160 has 1344 divisors, whose sum is σ = 19171676160. Its totient is φ = 705576960.

The previous prime is 3912068141. The next prime is 3912068161. The reversal of 3912068160 is 618602193.

3912068160 is a `hidden beast` number, since 391 + 206 + 8 + 1 + 60 = 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 (36).

It is not an unprimeable number, because it can be changed into a prime (3912068161) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 66306211 + ... + 66306269.

It is an arithmetic number, because the mean of its divisors is an integer number (14264640).

Almost surely, 2^3912068160 is an apocalyptic number.

3912068160 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 3912068160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9585838080).

3912068160 is an abundant number, since it is smaller than the sum of its proper divisors (15259608000).

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

3912068160 is a wasteful number, since it uses less digits than its factorization.

3912068160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 3912068160 is about 62546.5279611906. The cubic root of 3912068160 is about 1575.6828361909.

The spelling of 3912068160 in words is "three billion, nine hundred twelve million, sixty-eight thousand, one hundred sixty".