3960740160 has 448 divisors, whose sum is σ = 15208300800. Its totient is φ = 964583424.

The previous prime is 3960740159. The next prime is 3960740167. The reversal of 3960740160 is 610470693.

3960740160 is a `hidden beast` number, since 3 + 9 + 607 + 40 + 1 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3960740167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20105182 + ... + 20105378.

It is an arithmetic number, because the mean of its divisors is an integer number (33947100).

Almost surely, 2^3960740160 is an apocalyptic number.

3960740160 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 3960740160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7604150400).

3960740160 is an abundant number, since it is smaller than the sum of its proper divisors (11247560640).

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

3960740160 is a wasteful number, since it uses less digits than its factorization.

3960740160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3960740160 is about 62934.4115726841. The cubic root of 3960740160 is about 1582.1905416770.

The spelling of 3960740160 in words is "three billion, nine hundred sixty million, seven hundred forty thousand, one hundred sixty".