4348616328 has 192 divisors, whose sum is σ = 14191632000. Its totient is φ = 1230090624.

The previous prime is 4348616287. The next prime is 4348616341. The reversal of 4348616328 is 8236168434.

4348616328 is a `hidden beast` number, since 4 + 3 + 4 + 8 + 6 + 1 + 632 + 8 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1088158 + ... + 1092146.

It is an arithmetic number, because the mean of its divisors is an integer number (73914750).

Almost surely, 2^4348616328 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 4348616328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7095816000).

4348616328 is an abundant number, since it is smaller than the sum of its proper divisors (9843015672).

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

4348616328 is a wasteful number, since it uses less digits than its factorization.

4348616328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4121 (or 4104 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 4348616328 is about 65944.0393667237. The cubic root of 4348616328 is about 1632.2388004800.

The spelling of 4348616328 in words is "four billion, three hundred forty-eight million, six hundred sixteen thousand, three hundred twenty-eight".