3448934670720 has 2304 divisors, whose sum is σ = 14989158051840. Its totient is φ = 659106201600.

The previous prime is 3448934670703. The next prime is 3448934670739. The reversal of 3448934670720 is 270764398443.

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 80207783019 + ... + 80207783061.

It is an arithmetic number, because the mean of its divisors is an integer number (6505710960).

Almost surely, 2^{3448934670720} is an apocalyptic number.

3448934670720 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 3448934670720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7494579025920).

3448934670720 is an abundant number, since it is smaller than the sum of its proper divisors (11540223381120).

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

3448934670720 is a wasteful number, since it uses less digits than its factorization.

3448934670720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 57.

The spelling of 3448934670720 in words is "three trillion, four hundred forty-eight billion, nine hundred thirty-four million, six hundred seventy thousand, seven hundred twenty".