3961585000 has 40 divisors (see below), whose sum is σ = 9282005370. Its totient is φ = 1584632000.

The previous prime is 3961584989. The next prime is 3961585007. The reversal of 3961585000 is 5851693.

3961585000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 181548676 + 3780036324 = 13474^2 + 61482^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3961585007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 391159 + ... + 401158.

Almost surely, 2^3961585000 is an apocalyptic number.

It is an amenable number.

3961585000 is an abundant number, since it is smaller than the sum of its proper divisors (5320420370).

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

3961585000 is an equidigital number, since it uses as much as digits as its factorization.

3961585000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792343 (or 792324 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 37.

The square root of 3961585000 is about 62941.1232820006. The cubic root of 3961585000 is about 1582.3030293076.

The spelling of 3961585000 in words is "three billion, nine hundred sixty-one million, five hundred eighty-five thousand".