3438208448 has 112 divisors (see below), whose sum is σ = 7341290880. Its totient is φ = 1594543104.

The previous prime is 3438208447. The next prime is 3438208457. The reversal of 3438208448 is 8448028343.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3438208399 and 3438208408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3438208447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5346815 + ... + 5347457.

It is an arithmetic number, because the mean of its divisors is an integer number (65547240).

Almost surely, 2^3438208448 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 3438208448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3670645440).

3438208448 is an abundant number, since it is smaller than the sum of its proper divisors (3903082432).

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

3438208448 is a wasteful number, since it uses less digits than its factorization.

3438208448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 44.

The square root of 3438208448 is about 58636.2383513813. The cubic root of 3438208448 is about 1509.3063562654.

The spelling of 3438208448 in words is "three billion, four hundred thirty-eight million, two hundred eight thousand, four hundred forty-eight".