3448040064 has 192 divisors, whose sum is σ = 10769290560. Its totient is φ = 957505536.

The previous prime is 3448040041. The next prime is 3448040087. The reversal of 3448040064 is 4600408443.

It is an interprime number because it is at equal distance from previous prime (3448040041) and next prime (3448040087).

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

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 23 ways as a sum of consecutive naturals, for example, 3679404 + ... + 3680340.

It is an arithmetic number, because the mean of its divisors is an integer number (56090055).

Almost surely, 2^3448040064 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 3448040064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5384645280).

3448040064 is an abundant number, since it is smaller than the sum of its proper divisors (7321250496).

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

3448040064 is an equidigital number, since it uses as much as digits as its factorization.

3448040064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 3448040064 is about 58720.0141689356. The cubic root of 3448040064 is about 1510.7436163116.

It can be divided in two parts, 344 and 8040064, that added together give a palindrome (8040408).

The spelling of 3448040064 in words is "three billion, four hundred forty-eight million, forty thousand, sixty-four".