3960181170 has 288 divisors, whose sum is σ = 12004626816. Its totient is φ = 903260160.

The previous prime is 3960181139. The next prime is 3960181171. The reversal of 3960181170 is 711810693.

3960181170 is a `hidden beast` number, since 39 + 601 + 8 + 1 + 17 + 0 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3960181171) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24295509 + ... + 24295671.

It is an arithmetic number, because the mean of its divisors is an integer number (41682732).

Almost surely, 2^3960181170 is an apocalyptic number.

3960181170 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3960181170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6002313408).

3960181170 is an abundant number, since it is smaller than the sum of its proper divisors (8044445646).

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

3960181170 is a wasteful number, since it uses less digits than its factorization.

3960181170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 3960181170 is about 62929.9703638894. The cubic root of 3960181170 is about 1582.1161052278.

The spelling of 3960181170 in words is "three billion, nine hundred sixty million, one hundred eighty-one thousand, one hundred seventy".