3909845760 has 144 divisors (see below), whose sum is σ = 12530815584. Its totient is φ = 1038974976.

The previous prime is 3909845741. The next prime is 3909845777. The reversal of 3909845760 is 675489093.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1200294 + ... + 1203546.

Almost surely, 2^3909845760 is an apocalyptic number.

3909845760 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 3909845760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6265407792).

3909845760 is an abundant number, since it is smaller than the sum of its proper divisors (8620969824).

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

3909845760 is a wasteful number, since it uses less digits than its factorization.

3909845760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3590 (or 3576 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The square root of 3909845760 is about 62528.7594631462. The cubic root of 3909845760 is about 1575.3844040308.

The spelling of 3909845760 in words is "three billion, nine hundred nine million, eight hundred forty-five thousand, seven hundred sixty".