3338903808 has 144 divisors (see below), whose sum is σ = 10036857600. Its totient is φ = 1094584320.

The previous prime is 3338903807. The next prime is 3338903837. The reversal of 3338903808 is 8083098333.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3338903808² = 22296557278153801728, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3338903807) 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, 417673 + ... + 425591.

It is an arithmetic number, because the mean of its divisors is an integer number (69700400).

Almost surely, 2^3338903808 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 3338903808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5018428800).

3338903808 is an abundant number, since it is smaller than the sum of its proper divisors (6697953792).

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

3338903808 is an equidigital number, since it uses as much as digits as its factorization.

3338903808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8005 (or 7985 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 3338903808 is about 57783.2485068121. The cubic root of 3338903808 is about 1494.6332374732.

The spelling of 3338903808 in words is "three billion, three hundred thirty-eight million, nine hundred three thousand, eight hundred eight".