3338683008 has 64 divisors (see below), whose sum is σ = 8882241600. Its totient is φ = 1111154688.

The previous prime is 3338682961. The next prime is 3338683027. The reversal of 3338683008 is 8003868333.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3338683008² = 22293608455815856128, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 251973 + ... + 264891.

It is an arithmetic number, because the mean of its divisors is an integer number (138785025).

Almost surely, 2^3338683008 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 3338683008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4441120800).

3338683008 is an abundant number, since it is smaller than the sum of its proper divisors (5543558592).

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

3338683008 is a wasteful number, since it uses less digits than its factorization.

3338683008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13609 (or 13597 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 3338683008 is about 57781.3378868991. The cubic root of 3338683008 is about 1494.6002903033.

The spelling of 3338683008 in words is "three billion, three hundred thirty-eight million, six hundred eighty-three thousand, eight".