3575352960 has 320 divisors, whose sum is σ = 13522635720. Its totient is φ = 897122304.

The previous prime is 3575352941. The next prime is 3575353009. The reversal of 3575352960 is 692535753.

It is a happy number.

3575352960 is a `hidden beast` number, since 3 + 57 + 535 + 2 + 9 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3243530304 + 331822656 = 56952^2 + 18216^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 879252 + ... + 883308.

Almost surely, 2^3575352960 is an apocalyptic number.

3575352960 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 3575352960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6761317860).

3575352960 is an abundant number, since it is smaller than the sum of its proper divisors (9947282760).

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

3575352960 is a wasteful number, since it uses less digits than its factorization.

3575352960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4105 (or 4084 counting only the distinct ones).

The product of its (nonzero) digits is 850500, while the sum is 45.

The square root of 3575352960 is about 59794.2552424562. The cubic root of 3575352960 is about 1529.1132116067.

The spelling of 3575352960 in words is "three billion, five hundred seventy-five million, three hundred fifty-two thousand, nine hundred sixty".