3645536000 has 144 divisors (see below), whose sum is σ = 9329960640. Its totient is φ = 1418342400.

The previous prime is 3645535997. The next prime is 3645536009. The reversal of 3645536000 is 6355463.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3645536009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1182461 + ... + 1185539.

Almost surely, 2^3645536000 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 3645536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4664980320).

3645536000 is an abundant number, since it is smaller than the sum of its proper divisors (5684424640).

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

3645536000 is an equidigital number, since it uses as much as digits as its factorization.

3645536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3147 (or 3123 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 32.

The square root of 3645536000 is about 60378.2742383384. The cubic root of 3645536000 is about 1539.0537842876.

The spelling of 3645536000 in words is "three billion, six hundred forty-five million, five hundred thirty-six thousand".