3648661808 has 160 divisors (see below), whose sum is σ = 8531834880. Its totient is φ = 1492992000.

The previous prime is 3648661799. The next prime is 3648661811. The reversal of 3648661808 is 8081668463.

It is a happy number.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6323216 + ... + 6323792.

It is an arithmetic number, because the mean of its divisors is an integer number (53323968).

Almost surely, 2^3648661808 is an apocalyptic number.

3648661808 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3648661808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4265917440).

3648661808 is an abundant number, since it is smaller than the sum of its proper divisors (4883173072).

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

3648661808 is a wasteful number, since it uses less digits than its factorization.

3648661808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 50.

The square root of 3648661808 is about 60404.1538968969. The cubic root of 3648661808 is about 1539.4935378481.

The spelling of 3648661808 in words is "three billion, six hundred forty-eight million, six hundred sixty-one thousand, eight hundred eight".