3446480000 has 160 divisors (see below), whose sum is σ = 8721395760. Its totient is φ = 1355904000.

The previous prime is 3446479979. The next prime is 3446480003. The reversal of 3446480000 is 846443.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (3446480003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5359679 + ... + 5360321.

Almost surely, 2^3446480000 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 3446480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4360697880).

3446480000 is an abundant number, since it is smaller than the sum of its proper divisors (5274915760).

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

3446480000 is an frugal number, since it uses more digits than its factorization.

3446480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 3446480000 is about 58706.7287455195. The cubic root of 3446480000 is about 1510.5157368760.

The spelling of 3446480000 in words is "three billion, four hundred forty-six million, four hundred eighty thousand".