3208480800 has 216 divisors, whose sum is σ = 12149128656. Its totient is φ = 733340160.

The previous prime is 3208480783. The next prime is 3208480843. The reversal of 3208480800 is 80848023.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 103959 + ... + 131241.

It is an arithmetic number, because the mean of its divisors is an integer number (56245966).

Almost surely, 2^3208480800 is an apocalyptic number.

3208480800 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 3208480800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6074564328).

3208480800 is an abundant number, since it is smaller than the sum of its proper divisors (8940647856).

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

3208480800 is a wasteful number, since it uses less digits than its factorization.

3208480800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27320 (or 27300 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 3208480800 is about 56643.4532845588. The cubic root of 3208480800 is about 1474.9132650329.

The spelling of 3208480800 in words is "three billion, two hundred eight million, four hundred eighty thousand, eight hundred".