3575430144 has 264 divisors, whose sum is σ = 12133338672. Its totient is φ = 999751680.

The previous prime is 3575430121. The next prime is 3575430163. The reversal of 3575430144 is 4410345753.

3575430144 is a `hidden beast` number, since 3 + 575 + 43 + 0 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3575430099 and 3575430108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1316532 + ... + 1319244.

Almost surely, 2^3575430144 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 3575430144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6066669336).

3575430144 is an abundant number, since it is smaller than the sum of its proper divisors (8557908528).

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

3575430144 is a wasteful number, since it uses less digits than its factorization.

3575430144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2763 (or 2742 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 3575430144 is about 59794.9006521459. The cubic root of 3575430144 is about 1529.1242149236.

Adding to 3575430144 its reverse (4410345753), we get a palindrome (7985775897).

The spelling of 3575430144 in words is "three billion, five hundred seventy-five million, four hundred thirty thousand, one hundred forty-four".