3575315120 has 240 divisors, whose sum is σ = 9643445280. Its totient is φ = 1225027584.

The previous prime is 3575315113. The next prime is 3575315131. The reversal of 3575315120 is 215135753.

It is a super-2 number, since 2×3575315120² = 25565756414601228800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33414107 + ... + 33414213.

It is an arithmetic number, because the mean of its divisors is an integer number (40181022).

Almost surely, 2^3575315120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3575315120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4821722640).

3575315120 is an abundant number, since it is smaller than the sum of its proper divisors (6068130160).

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

3575315120 is a wasteful number, since it uses less digits than its factorization.

3575315120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 15750, while the sum is 32.

The square root of 3575315120 is about 59793.9388232620. The cubic root of 3575315120 is about 1529.1078170952.

The spelling of 3575315120 in words is "three billion, five hundred seventy-five million, three hundred fifteen thousand, one hundred twenty".