3448128000 has 160 divisors (see below), whose sum is σ = 11464801920. Its totient is φ = 919449600.

The previous prime is 3448127941. The next prime is 3448128001. The reversal of 3448128000 is 8218443.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (3448128001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183021 + ... + 200979.

It is an arithmetic number, because the mean of its divisors is an integer number (71655012).

Almost surely, 2^3448128000 is an apocalyptic number.

3448128000 is a gapful number since it is divisible by the number (30) 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 3448128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5732400960).

3448128000 is an abundant number, since it is smaller than the sum of its proper divisors (8016673920).

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

3448128000 is an equidigital number, since it uses as much as digits as its factorization.

3448128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17995 (or 17969 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 3448128000 is about 58720.7629378229. The cubic root of 3448128000 is about 1510.7564591266.

It can be divided in two parts, 34481 and 28000, that added together give a triangular number (62481 = T₃₅₃).

The spelling of 3448128000 in words is "three billion, four hundred forty-eight million, one hundred twenty-eight thousand".