3338664000 has 672 divisors, whose sum is σ = 13659819264. Its totient is φ = 713932800.

The previous prime is 3338663953. The next prime is 3338664023. The reversal of 3338664000 is 4668333.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×3338664000² = 22293354609792000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19991917 + ... + 19992083.

It is an arithmetic number, because the mean of its divisors is an integer number (20327112).

Almost surely, 2^3338664000 is an apocalyptic number.

3338664000 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 3338664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6829909632).

3338664000 is an abundant number, since it is smaller than the sum of its proper divisors (10321155264).

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

3338664000 is a wasteful number, since it uses less digits than its factorization.

3338664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 3338664000 is about 57781.1734044922. The cubic root of 3338664000 is about 1494.5974539138.

The spelling of 3338664000 in words is "three billion, three hundred thirty-eight million, six hundred sixty-four thousand".