3444480800 has 72 divisors (see below), whose sum is σ = 8698857300. Its totient is φ = 1330273280.

The previous prime is 3444480799. The next prime is 3444480833. The reversal of 3444480800 is 80844443.

It can be written as a sum of positive squares in 6 ways, for example, as 933669136 + 2510811664 = 30556^2 + 50108^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51035 + ... + 97434.

Almost surely, 2^3444480800 is an apocalyptic number.

It is an amenable number.

3444480800 is an abundant number, since it is smaller than the sum of its proper divisors (5254376500).

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

3444480800 is a wasteful number, since it uses less digits than its factorization.

3444480800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148518 (or 148505 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 35.

The square root of 3444480800 is about 58689.6992665664. The cubic root of 3444480800 is about 1510.2236120460.

The spelling of 3444480800 in words is "three billion, four hundred forty-four million, four hundred eighty thousand, eight hundred".