3643662013728 has 192 divisors, whose sum is σ = 10542537815040. Its totient is φ = 1092723840000.

The previous prime is 3643662013687. The next prime is 3643662013787. The reversal of 3643662013728 is 8273102663463.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41570013 + ... + 41657571.

It is an arithmetic number, because the mean of its divisors is an integer number (54909051120).

Almost surely, 2^{3643662013728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3643662013728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5271268907520).

3643662013728 is an abundant number, since it is smaller than the sum of its proper divisors (6898875801312).

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

3643662013728 is a wasteful number, since it uses less digits than its factorization.

3643662013728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87991 (or 87983 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 51.

The spelling of 3643662013728 in words is "three trillion, six hundred forty-three billion, six hundred sixty-two million, thirteen thousand, seven hundred twenty-eight".