3960523218960 has 480 divisors, whose sum is σ = 17030953734912. Its totient is φ = 800723128320.

The previous prime is 3960523218941. The next prime is 3960523218973. The reversal of 3960523218960 is 698123250693.

3960523218960 is a `hidden beast` number, since 3 + 9 + 6 + 0 + 523 + 21 + 8 + 96 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3960523218897 and 3960523218906.

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, 1085902 + ... + 3016658.

Almost surely, 2^{3960523218960} is an apocalyptic number.

3960523218960 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 3960523218960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8515476867456).

3960523218960 is an abundant number, since it is smaller than the sum of its proper divisors (13070430515952).

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

3960523218960 is a wasteful number, since it uses less digits than its factorization.

3960523218960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1930831 (or 1930822 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 3960523218960 in words is "three trillion, nine hundred sixty billion, five hundred twenty-three million, two hundred eighteen thousand, nine hundred sixty".