3808648800 has 432 divisors, whose sum is σ = 15428387520. Its totient is φ = 874368000.

The previous prime is 3808648763. The next prime is 3808648801. The reversal of 3808648800 is 88468083.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3808648801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1503535 + ... + 1506065.

It is an arithmetic number, because the mean of its divisors is an integer number (35713860).

Almost surely, 2^3808648800 is an apocalyptic number.

3808648800 is a gapful number since it is divisible by the number (30) 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 3808648800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7714193760).

3808648800 is an abundant number, since it is smaller than the sum of its proper divisors (11619738720).

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

3808648800 is a wasteful number, since it uses less digits than its factorization.

3808648800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2587 (or 2571 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 3808648800 is about 61714.2511904665. The cubic root of 3808648800 is about 1561.6737459784.

The spelling of 3808648800 in words is "three billion, eight hundred eight million, six hundred forty-eight thousand, eight hundred".