3493880448 has 128 divisors (see below), whose sum is σ = 9499610880. Its totient is φ = 1137475584.

The previous prime is 3493880399. The next prime is 3493880459. The reversal of 3493880448 is 8440883943.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 3493880448.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3167065 + ... + 3168167.

It is an arithmetic number, because the mean of its divisors is an integer number (74215710).

Almost surely, 2^3493880448 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 3493880448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4749805440).

3493880448 is an abundant number, since it is smaller than the sum of its proper divisors (6005730432).

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

3493880448 is a wasteful number, since it uses less digits than its factorization.

3493880448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 51.

The square root of 3493880448 is about 59109.0555498902. The cubic root of 3493880448 is about 1517.4090857076.

The spelling of 3493880448 in words is "three billion, four hundred ninety-three million, eight hundred eighty thousand, four hundred forty-eight".