3586364121600 has 960 divisors, whose sum is σ = 14922767798400. Its totient is φ = 836314398720.

The previous prime is 3586364121577. The next prime is 3586364121611. The reversal of 3586364121600 is 61214636853.

3586364121600 is a `hidden beast` number, since 3 + 5 + 8 + 6 + 36 + 4 + 1 + 2 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×3586364121600² (a number of 26 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 85342194 + ... + 85384206.

It is an arithmetic number, because the mean of its divisors is an integer number (15544549790).

Almost surely, 2^{3586364121600} is an apocalyptic number.

3586364121600 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 3586364121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7461383899200).

3586364121600 is an abundant number, since it is smaller than the sum of its proper divisors (11336403676800).

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

3586364121600 is a wasteful number, since it uses less digits than its factorization.

3586364121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42082 (or 42055 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 3586364121600 in words is "three trillion, five hundred eighty-six billion, three hundred sixty-four million, one hundred twenty-one thousand, six hundred".