3848644800 has 1344 divisors, whose sum is σ = 19048780800. Its totient is φ = 729907200.

The previous prime is 3848644747. The next prime is 3848644829. The reversal of 3848644800 is 84468483.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 43243156 + ... + 43243244.

It is an arithmetic number, because the mean of its divisors is an integer number (14173200).

Almost surely, 2^3848644800 is an apocalyptic number.

3848644800 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 3848644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9524390400).

3848644800 is an abundant number, since it is smaller than the sum of its proper divisors (15200136000).

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

3848644800 is a wasteful number, since it uses less digits than its factorization.

3848644800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 3848644800 is about 62037.4467559715. The cubic root of 3848644800 is about 1567.1212885149.

It can be divided in two parts, 3848644 and 800, that added together give a square (3849444 = 1962²).

The spelling of 3848644800 in words is "three billion, eight hundred forty-eight million, six hundred forty-four thousand, eight hundred".