3575998361600 has 1248 divisors, whose sum is σ = 11254591267200. Its totient is φ = 1122144092160.

The previous prime is 3575998361563. The next prime is 3575998361603. The reversal of 3575998361600 is 61638995753.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3575998361603) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 31646003144 + ... + 31646003256.

Almost surely, 2^{3575998361600} 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 3575998361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5627295633600).

3575998361600 is an abundant number, since it is smaller than the sum of its proper divisors (7678592905600).

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

3575998361600 is a wasteful number, since it uses less digits than its factorization.

3575998361600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 62.

The spelling of 3575998361600 in words is "three trillion, five hundred seventy-five billion, nine hundred ninety-eight million, three hundred sixty-one thousand, six hundred".