3636043665408 has 1872 divisors, whose sum is σ = 14465877404160. Its totient is φ = 890778746880.

The previous prime is 3636043665403. The next prime is 3636043665409. The reversal of 3636043665408 is 8045663406363.

3636043665408 is a `hidden beast` number, since 3 + 6 + 3 + 60 + 4 + 36 + 6 + 540 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3636043665403) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16017813391 + ... + 16017813617.

Almost surely, 2^{3636043665408} is an apocalyptic number.

3636043665408 is a gapful number since it is divisible by the number (38) 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 3636043665408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7232938702080).

3636043665408 is an abundant number, since it is smaller than the sum of its proper divisors (10829833738752).

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

3636043665408 is a wasteful number, since it uses less digits than its factorization.

3636043665408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 54.

The spelling of 3636043665408 in words is "three trillion, six hundred thirty-six billion, forty-three million, six hundred sixty-five thousand, four hundred eight".