3448448640 has 1280 divisors, whose sum is σ = 16421771520. Its totient is φ = 668860416.

The previous prime is 3448448603. The next prime is 3448448651. The reversal of 3448448640 is 468448443.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 80196459 + ... + 80196501.

It is an arithmetic number, because the mean of its divisors is an integer number (12829509).

Almost surely, 2^3448448640 is an apocalyptic number.

3448448640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3448448640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8210885760).

3448448640 is an abundant number, since it is smaller than the sum of its proper divisors (12973322880).

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

3448448640 is a wasteful number, since it uses less digits than its factorization.

3448448640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 45.

The square root of 3448448640 is about 58723.4930841141. The cubic root of 3448448640 is about 1510.8032858817.

The spelling of 3448448640 in words is "three billion, four hundred forty-eight million, four hundred forty-eight thousand, six hundred forty".