3645363532536 has 640 divisors, whose sum is σ = 11855289600000. Its totient is φ = 1035701821440.

The previous prime is 3645363532501. The next prime is 3645363532567. The reversal of 3645363532536 is 6352353635463.

3645363532536 is a `hidden beast` number, since 3 + 6 + 4 + 5 + 36 + 353 + 253 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1929783880 + ... + 1929785768.

It is an arithmetic number, because the mean of its divisors is an integer number (18523890000).

Almost surely, 2^{3645363532536} is an apocalyptic number.

3645363532536 is a gapful number since it is divisible by the number (36) 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 3645363532536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5927644800000).

3645363532536 is an abundant number, since it is smaller than the sum of its proper divisors (8209926067464).

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

3645363532536 is a wasteful number, since it uses less digits than its factorization.

3645363532536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2169 (or 2156 counting only the distinct ones).

The product of its digits is 52488000, while the sum is 54.

The spelling of 3645363532536 in words is "three trillion, six hundred forty-five billion, three hundred sixty-three million, five hundred thirty-two thousand, five hundred thirty-six".