3985578760 has 32 divisors (see below), whose sum is σ = 8970053400. Its totient is φ = 1593786880.

The previous prime is 3985578749. The next prime is 3985578761. The reversal of 3985578760 is 678755893.

3985578760 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 4 ways, for example, as 3727590916 + 257987844 = 61054^2 + 16062^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3985578695 and 3985578704.

It is not an unprimeable number, because it can be changed into a prime (3985578761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157380 + ... + 180940.

Almost surely, 2^3985578760 is an apocalyptic number.

It is an amenable number.

3985578760 is an abundant number, since it is smaller than the sum of its proper divisors (4984474640).

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

3985578760 is a wasteful number, since it uses less digits than its factorization.

3985578760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27801 (or 27797 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 58.

The square root of 3985578760 is about 63131.4403447284. The cubic root of 3985578760 is about 1585.4910637972.

The spelling of 3985578760 in words is "three billion, nine hundred eighty-five million, five hundred seventy-eight thousand, seven hundred sixty".