3480680448 has 288 divisors, whose sum is σ = 11728735200. Its totient is φ = 973799424.

The previous prime is 3480680431. The next prime is 3480680461. The reversal of 3480680448 is 8440860843.

3480680448 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6838018 + ... + 6838526.

It is an arithmetic number, because the mean of its divisors is an integer number (40724775).

Almost surely, 2^3480680448 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 3480680448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5864367600).

3480680448 is an abundant number, since it is smaller than the sum of its proper divisors (8248054752).

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

3480680448 is a wasteful number, since it uses less digits than its factorization.

3480680448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 3480680448 is about 58997.2918700511. The cubic root of 3480680448 is about 1515.4957329440.

The spelling of 3480680448 in words is "three billion, four hundred eighty million, six hundred eighty thousand, four hundred forty-eight".