3575885760 has 84 divisors (see below), whose sum is σ = 12299566968. Its totient is φ = 953568768.

The previous prime is 3575885741. The next prime is 3575885767. The reversal of 3575885760 is 675885753.

3575885760 is a `hidden beast` number, since 3 + 5 + 7 + 588 + 57 + 6 + 0 = 666.

3575885760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3575885697 and 3575885706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3575885767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 617934 + ... + 623693.

Almost surely, 2^3575885760 is an apocalyptic number.

3575885760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3575885760 is an abundant number, since it is smaller than the sum of its proper divisors (8723681208).

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

3575885760 is a wasteful number, since it uses less digits than its factorization.

3575885760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241650 (or 1241637 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The square root of 3575885760 is about 59798.7103539867. The cubic root of 3575885760 is about 1529.1891641129.

The spelling of 3575885760 in words is "three billion, five hundred seventy-five million, eight hundred eighty-five thousand, seven hundred sixty".