3443438880 has 288 divisors, whose sum is σ = 13492821888. Its totient is φ = 783360000.

The previous prime is 3443438861. The next prime is 3443438891. The reversal of 3443438880 is 888343443.

3443438880 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 Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2529400 + ... + 2530760.

It is an arithmetic number, because the mean of its divisors is an integer number (46850076).

Almost surely, 2^3443438880 is an apocalyptic number.

3443438880 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 3443438880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6746410944).

3443438880 is an abundant number, since it is smaller than the sum of its proper divisors (10049383008).

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

3443438880 is a wasteful number, since it uses less digits than its factorization.

3443438880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The square root of 3443438880 is about 58680.8220801311. The cubic root of 3443438880 is about 1510.0713209884.

The spelling of 3443438880 in words is "three billion, four hundred forty-three million, four hundred thirty-eight thousand, eight hundred eighty".