3575694509856 has 432 divisors, whose sum is σ = 12829827268440. Its totient is φ = 938076733440.

The previous prime is 3575694509837. The next prime is 3575694509869. The reversal of 3575694509856 is 6589054965753.

3575694509856 is a `hidden beast` number, since 3 + 5 + 7 + 5 + 69 + 4 + 509 + 8 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2248452266256 + 1327242243600 = 1499484^2 + 1152060^2 .

It is a super-2 number, since 2×3575694509856² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9654300 + ... + 10017828.

Almost surely, 2^{3575694509856} is an apocalyptic number.

3575694509856 is a gapful number since it is divisible by the number (36) 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 3575694509856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6414913634220).

3575694509856 is an abundant number, since it is smaller than the sum of its proper divisors (9254132758584).

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

3575694509856 is a wasteful number, since it uses less digits than its factorization.

3575694509856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363617 (or 363599 counting only the distinct ones).

The product of its (nonzero) digits is 1224720000, while the sum is 72.

The spelling of 3575694509856 in words is "three trillion, five hundred seventy-five billion, six hundred ninety-four million, five hundred nine thousand, eight hundred fifty-six".