3538590105600 has 1440 divisors, whose sum is σ = 14482515247200. Its totient is φ = 849346560000.

The previous prime is 3538590105593. The next prime is 3538590105623. The reversal of 3538590105600 is 65010958353.

3538590105600 is a `hidden beast` number, since 3 + 5 + 3 + 8 + 590 + 1 + 0 + 56 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 35035545550 + ... + 35035545650.

It is an arithmetic number, because the mean of its divisors is an integer number (10057302255).

Almost surely, 2^{3538590105600} is an apocalyptic number.

3538590105600 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 3538590105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7241257623600).

3538590105600 is an abundant number, since it is smaller than the sum of its proper divisors (10943925141600).

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

3538590105600 is an frugal number, since it uses more digits than its factorization.

3538590105600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 3538590105600 in words is "three trillion, five hundred thirty-eight billion, five hundred ninety million, one hundred five thousand, six hundred".