3287983760 has 40 divisors (see below), whose sum is σ = 7654004160. Its totient is φ = 1313569152.

The previous prime is 3287983759. The next prime is 3287983771. The reversal of 3287983760 is 673897823.

It is a happy number.

3287983760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40871 + ... + 90809.

It is an arithmetic number, because the mean of its divisors is an integer number (191350104).

Almost surely, 2^3287983760 is an apocalyptic number.

It is an amenable number.

3287983760 is an abundant number, since it is smaller than the sum of its proper divisors (4366020400).

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

3287983760 is a wasteful number, since it uses less digits than its factorization.

3287983760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50775 (or 50769 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 53.

The square root of 3287983760 is about 57340.9431383893. The cubic root of 3287983760 is about 1486.9963001379.

The spelling of 3287983760 in words is "three billion, two hundred eighty-seven million, nine hundred eighty-three thousand, seven hundred sixty".