3648640000 has 110 divisors (see below), whose sum is σ = 9115827314. Its totient is φ = 1459200000.

The previous prime is 3648639997. The next prime is 3648640007. The reversal of 3648640000 is 468463.

It can be written as a sum of positive squares in 5 ways, for example, as 789385216 + 2859254784 = 28096^2 + 53472^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3648640007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 637150 + ... + 642850.

Almost surely, 2^3648640000 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 3648640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4557913657).

3648640000 is an abundant number, since it is smaller than the sum of its proper divisors (5467187314).

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

3648640000 is an frugal number, since it uses more digits than its factorization.

3648640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5741 (or 5708 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 3648640000 is about 60403.9733792405. The cubic root of 3648640000 is about 1539.4904706650.

The spelling of 3648640000 in words is "three billion, six hundred forty-eight million, six hundred forty thousand".