3848474784 has 192 divisors, whose sum is σ = 12936333312. Its totient is φ = 972518400.

The previous prime is 3848474779. The next prime is 3848474789. The reversal of 3848474784 is 4874748483.

It is an interprime number because it is at equal distance from previous prime (3848474779) and next prime (3848474789).

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

It is not an unprimeable number, because it can be changed into a prime (3848474789) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 266469 + ... + 280539.

It is an arithmetic number, because the mean of its divisors is an integer number (67376736).

Almost surely, 2^3848474784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3848474784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6468166656).

3848474784 is an abundant number, since it is smaller than the sum of its proper divisors (9087858528).

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

3848474784 is a wasteful number, since it uses less digits than its factorization.

3848474784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14139 (or 14131 counting only the distinct ones).

The product of its digits is 19267584, while the sum is 57.

The square root of 3848474784 is about 62036.0764716790. The cubic root of 3848474784 is about 1567.0982120269.

The spelling of 3848474784 in words is "three billion, eight hundred forty-eight million, four hundred seventy-four thousand, seven hundred eighty-four".