3643566624 has 120 divisors (see below), whose sum is σ = 10749161808. Its totient is φ = 1210723200.

The previous prime is 3643566613. The next prime is 3643566629. The reversal of 3643566624 is 4266653463.

It is a self number, because there is not a number n which added to its sum of digits gives 3643566624.

It is not an unprimeable number, because it can be changed into a prime (3643566629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 897399 + ... + 901449.

Almost surely, 2^3643566624 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 3643566624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5374580904).

3643566624 is an abundant number, since it is smaller than the sum of its proper divisors (7105595184).

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

3643566624 is a wasteful number, since it uses less digits than its factorization.

3643566624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4420 (or 4403 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 45.

The square root of 3643566624 is about 60361.9633875506. The cubic root of 3643566624 is about 1538.7765939976.

The spelling of 3643566624 in words is "three billion, six hundred forty-three million, five hundred sixty-six thousand, six hundred twenty-four".