3536205353064 has 128 divisors (see below), whose sum is σ = 10412721072000. Its totient is φ = 1108105270272.

The previous prime is 3536205353063. The next prime is 3536205353189. The reversal of 3536205353064 is 4603535026353.

It is a happy number.

3536205353064 is a `hidden beast` number, since 3 + 5 + 3 + 6 + 2 + 0 + 53 + 530 + 64 = 666.

It is a super-3 number, since 3×3536205353064³ (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3536205353063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2593702 + ... + 3714794.

It is an arithmetic number, because the mean of its divisors is an integer number (81349383375).

Almost surely, 2^{3536205353064} is an apocalyptic number.

3536205353064 is a gapful number since it is divisible by the number (34) 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 3536205353064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5206360536000).

3536205353064 is an abundant number, since it is smaller than the sum of its proper divisors (6876515718936).

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

3536205353064 is a wasteful number, since it uses less digits than its factorization.

3536205353064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121984 (or 1121974 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 45.

The spelling of 3536205353064 in words is "three trillion, five hundred thirty-six billion, two hundred five million, three hundred fifty-three thousand, sixty-four".