3688448320 has 56 divisors (see below), whose sum is σ = 8801100000. Its totient is φ = 1472358912.

The previous prime is 3688448279. The next prime is 3688448327. The reversal of 3688448320 is 238448863.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3688448327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148131 + ... + 171229.

It is an arithmetic number, because the mean of its divisors is an integer number (157162500).

Almost surely, 2^3688448320 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 3688448320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4400550000).

3688448320 is an abundant number, since it is smaller than the sum of its proper divisors (5112651680).

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

3688448320 is a wasteful number, since it uses less digits than its factorization.

3688448320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23615 (or 23605 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 46.

The square root of 3688448320 is about 60732.5968488093. The cubic root of 3688448320 is about 1545.0690780201.

The spelling of 3688448320 in words is "three billion, six hundred eighty-eight million, four hundred forty-eight thousand, three hundred twenty".