4128348384 has 288 divisors, whose sum is σ = 13037117184. Its totient is φ = 1281899520.

The previous prime is 4128348373. The next prime is 4128348397. The reversal of 4128348384 is 4838438214.

It is a happy number.

4128348384 is a `hidden beast` number, since 4 + 12 + 83 + 483 + 84 = 666.

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

It is a super-2 number, since 2×4128348384² = 34086520759350822912, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7332487 + ... + 7333049.

It is an arithmetic number, because the mean of its divisors is an integer number (45267768).

Almost surely, 2^4128348384 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 4128348384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6518558592).

4128348384 is an abundant number, since it is smaller than the sum of its proper divisors (8908768800).

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

4128348384 is a wasteful number, since it uses less digits than its factorization.

4128348384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 632 counting only the distinct ones).

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

The square root of 4128348384 is about 64252.2247396929. The cubic root of 4128348384 is about 1604.2009893184.

The spelling of 4128348384 in words is "four billion, one hundred twenty-eight million, three hundred forty-eight thousand, three hundred eighty-four".