3448096128 has 192 divisors, whose sum is σ = 10896696720. Its totient is φ = 1081589760.

The previous prime is 3448096123. The next prime is 3448096139. The reversal of 3448096128 is 8216908443.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3448096123) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 525508 + ... + 532028.

Almost surely, 2^3448096128 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 3448096128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5448348360).

3448096128 is an abundant number, since it is smaller than the sum of its proper divisors (7448600592).

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

3448096128 is an equidigital number, since it uses as much as digits as its factorization.

3448096128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6567 (or 6543 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 3448096128 is about 58720.4915510761. The cubic root of 3448096128 is about 1510.7518043324.

The spelling of 3448096128 in words is "three billion, four hundred forty-eight million, ninety-six thousand, one hundred twenty-eight".