3905805960 has 256 divisors, whose sum is σ = 15243379200. Its totient is φ = 870912000.

The previous prime is 3905805931. The next prime is 3905805991. The reversal of 3905805960 is 695085093.

3905805960 is a `hidden beast` number, since 3 + 9 + 0 + 58 + 0 + 596 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 303660 + ... + 316260.

It is an arithmetic number, because the mean of its divisors is an integer number (59544450).

Almost surely, 2^3905805960 is an apocalyptic number.

3905805960 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 3905805960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7621689600).

3905805960 is an abundant number, since it is smaller than the sum of its proper divisors (11337573240).

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

3905805960 is a wasteful number, since it uses less digits than its factorization.

3905805960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12669 (or 12659 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 3905805960 is about 62496.4475790424. The cubic root of 3905805960 is about 1574.8416348707.

The spelling of 3905805960 in words is "three billion, nine hundred five million, eight hundred five thousand, nine hundred sixty".