3289442208 has 96 divisors (see below), whose sum is σ = 9515411136. Its totient is φ = 988581888.

The previous prime is 3289442207. The next prime is 3289442213. The reversal of 3289442208 is 8022449823.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 3289442208.

It is not an unprimeable number, because it can be changed into a prime (3289442207) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23016 + ... + 84312.

It is an arithmetic number, because the mean of its divisors is an integer number (99118866).

Almost surely, 2^3289442208 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 3289442208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4757705568).

3289442208 is an abundant number, since it is smaller than the sum of its proper divisors (6225968928).

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

3289442208 is a wasteful number, since it uses less digits than its factorization.

3289442208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61366 (or 61358 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 3289442208 is about 57353.6590637424. The cubic root of 3289442208 is about 1487.2161295085.

The spelling of 3289442208 in words is "three billion, two hundred eighty-nine million, four hundred forty-two thousand, two hundred eight".