3663213440 has 64 divisors (see below), whose sum is σ = 8844232320. Its totient is φ = 1450752000.

The previous prime is 3663213403. The next prime is 3663213443. The reversal of 3663213440 is 443123663.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a junction number, because it is equal to n+sod(n) for n = 3663213397 and 3663213406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3663213443) 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 7 ways as a sum of consecutive naturals, for example, 36305 + ... + 92975.

It is an arithmetic number, because the mean of its divisors is an integer number (138191130).

Almost surely, 2^3663213440 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 3663213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4422116160).

3663213440 is an abundant number, since it is smaller than the sum of its proper divisors (5181018880).

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

3663213440 is a wasteful number, since it uses less digits than its factorization.

3663213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56791 (or 56779 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

The square root of 3663213440 is about 60524.4862844783. The cubic root of 3663213440 is about 1541.5374312834.

The spelling of 3663213440 in words is "three billion, six hundred sixty-three million, two hundred thirteen thousand, four hundred forty".