3848334336 has 792 divisors, whose sum is σ = 15289616160. Its totient is φ = 908328960.

The previous prime is 3848334331. The next prime is 3848334349. The reversal of 3848334336 is 6334338483.

It is a tau number, because it is divible by the number of its divisors (792).

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

It is a junction number, because it is equal to n+sod(n) for n = 3848334291 and 3848334300.

It is not an unprimeable number, because it can be changed into a prime (3848334331) 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, 132701170 + ... + 132701198.

Almost surely, 2^3848334336 is an apocalyptic number.

3848334336 is a gapful number since it is divisible by the number (36) 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 3848334336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7644808080).

3848334336 is an abundant number, since it is smaller than the sum of its proper divisors (11441281824).

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

3848334336 is a wasteful number, since it uses less digits than its factorization.

3848334336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 69 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 45.

The square root of 3848334336 is about 62034.9444748684. The cubic root of 3848334336 is about 1567.0791483285.

The spelling of 3848334336 in words is "three billion, eight hundred forty-eight million, three hundred thirty-four thousand, three hundred thirty-six".