3430448448 has 168 divisors, whose sum is σ = 10627778592. Its totient is φ = 973679616.

The previous prime is 3430448443. The next prime is 3430448467. The reversal of 3430448448 is 8448440343.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3430448443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1532386 + ... + 1534622.

Almost surely, 2^3430448448 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 3430448448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5313889296).

3430448448 is an abundant number, since it is smaller than the sum of its proper divisors (7197330144).

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

3430448448 is a wasteful number, since it uses less digits than its factorization.

3430448448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2429 (or 2412 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 42.

The square root of 3430448448 is about 58570.0302885358. The cubic root of 3430448448 is about 1508.1700047791.

The spelling of 3430448448 in words is "three billion, four hundred thirty million, four hundred forty-eight thousand, four hundred forty-eight".