3448971394848 has 288 divisors, whose sum is σ = 11516769298944. Its totient is φ = 958399174656.

The previous prime is 3448971394837. The next prime is 3448971394849. The reversal of 3448971394848 is 8484931798443.

3448971394848 is a `hidden beast` number, since 3 + 4 + 4 + 8 + 9 + 7 + 139 + 484 + 8 = 666.

3448971394848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is not an unprimeable number, because it can be changed into a prime (3448971394849) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 218322886 + ... + 218338682.

It is an arithmetic number, because the mean of its divisors is an integer number (39988782288).

Almost surely, 2^{3448971394848} 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 3448971394848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5758384649472).

3448971394848 is an abundant number, since it is smaller than the sum of its proper divisors (8067797904096).

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

3448971394848 is a wasteful number, since it uses less digits than its factorization.

3448971394848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18784 (or 18773 counting only the distinct ones).

The product of its digits is 668860416, while the sum is 72.

The spelling of 3448971394848 in words is "three trillion, four hundred forty-eight billion, nine hundred seventy-one million, three hundred ninety-four thousand, eight hundred forty-eight".