3663408848 has 160 divisors (see below), whose sum is σ = 8414461440. Its totient is φ = 1527482880.

The previous prime is 3663408823. The next prime is 3663408869. The reversal of 3663408848 is 8488043663.

It is a junction number, because it is equal to n+sod(n) for n = 3663408796 and 3663408805.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18595886 + ... + 18596082.

It is an arithmetic number, because the mean of its divisors is an integer number (52590384).

Almost surely, 2^3663408848 is an apocalyptic number.

3663408848 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 3663408848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4207230720).

3663408848 is an abundant number, since it is smaller than the sum of its proper divisors (4751052592).

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

3663408848 is a wasteful number, since it uses less digits than its factorization.

3663408848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 50.

The square root of 3663408848 is about 60526.1005517454. The cubic root of 3663408848 is about 1541.5648410422.

The spelling of 3663408848 in words is "three billion, six hundred sixty-three million, four hundred eight thousand, eight hundred forty-eight".