3531873945600 has 5184 divisors, whose sum is σ = 18555012403200. Its totient is φ = 621084672000.

The previous prime is 3531873945577. The next prime is 3531873945601. The reversal of 3531873945600 is 65493781353.

3531873945600 is a `hidden beast` number, since 3 + 5 + 3 + 1 + 8 + 73 + 9 + 4 + 560 + 0 = 666.

It is a super-4 number, since 4×3531873945600⁴ (a number of 51 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3531873945601) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 113931417585 + ... + 113931417615.

It is an arithmetic number, because the mean of its divisors is an integer number (3579284800).

Almost surely, 2^{3531873945600} is an apocalyptic number.

3531873945600 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 3531873945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9277506201600).

3531873945600 is an abundant number, since it is smaller than the sum of its proper divisors (15023138457600).

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

3531873945600 is a wasteful number, since it uses less digits than its factorization.

3531873945600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 3531873945600 in words is "three trillion, five hundred thirty-one billion, eight hundred seventy-three million, nine hundred forty-five thousand, six hundred".