3398664000 has 448 divisors, whose sum is σ = 12050767872. Its totient is φ = 841984000.

The previous prime is 3398663999. The next prime is 3398664037. The reversal of 3398664000 is 4668933.

3398664000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3398664000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25943935 + ... + 25944065.

Almost surely, 2^3398664000 is an apocalyptic number.

3398664000 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 3398664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6025383936).

3398664000 is an abundant number, since it is smaller than the sum of its proper divisors (8652103872).

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

3398664000 is a wasteful number, since it uses less digits than its factorization.

3398664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 3398664000 is about 58298.0617173504. The cubic root of 3398664000 is about 1503.4976158943.

The spelling of 3398664000 in words is "three billion, three hundred ninety-eight million, six hundred sixty-four thousand".