3575609574720 has 448 divisors, whose sum is σ = 11800337852160. Its totient is φ = 916685586432.

The previous prime is 3575609574701. The next prime is 3575609574749. The reversal of 3575609574720 is 274759065753.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 63 ways as a sum of consecutive naturals, for example, 856021272 + ... + 856025448.

Almost surely, 2^{3575609574720} is an apocalyptic number.

3575609574720 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 3575609574720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5900168926080).

3575609574720 is an abundant number, since it is smaller than the sum of its proper divisors (8224728277440).

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

3575609574720 is a wasteful number, since it uses less digits than its factorization.

3575609574720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4562 (or 4552 counting only the distinct ones).

The product of its (nonzero) digits is 55566000, while the sum is 60.

The spelling of 3575609574720 in words is "three trillion, five hundred seventy-five billion, six hundred nine million, five hundred seventy-four thousand, seven hundred twenty".