3848233248 has 288 divisors, whose sum is σ = 12025540800. Its totient is φ = 1163040768.

The previous prime is 3848233243. The next prime is 3848233273. The reversal of 3848233248 is 8423328483.

3848233248 is a `hidden beast` number, since 384 + 8 + 23 + 3 + 248 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (884736) is a multiple of the sum of its prime factors (384).

It is not an unprimeable number, because it can be changed into a prime (3848233243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16804398 + ... + 16804626.

It is an arithmetic number, because the mean of its divisors is an integer number (41755350).

Almost surely, 2^3848233248 is an apocalyptic number.

3848233248 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 3848233248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6012770400).

3848233248 is an abundant number, since it is smaller than the sum of its proper divisors (8177307552).

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

3848233248 is a wasteful number, since it uses less digits than its factorization.

3848233248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 373 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 3848233248 is about 62034.1297029305. The cubic root of 3848233248 is about 1567.0654268697.

The spelling of 3848233248 in words is "three billion, eight hundred forty-eight million, two hundred thirty-three thousand, two hundred forty-eight".