3368448000 has 624 divisors, whose sum is σ = 13156187616. Its totient is φ = 825753600.

The previous prime is 3368447909. The next prime is 3368448007. The reversal of 3368448000 is 8448633.

It is a super-2 number, since 2×3368448000² = 22692883857408000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3368448007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78335979 + ... + 78336021.

It is an arithmetic number, because the mean of its divisors is an integer number (21083634).

Almost surely, 2^3368448000 is an apocalyptic number.

3368448000 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 3368448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6578093808).

3368448000 is an abundant number, since it is smaller than the sum of its proper divisors (9787739616).

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

3368448000 is a wasteful number, since it uses less digits than its factorization.

3368448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3368448000 is about 58038.3321607367. The cubic root of 3368448000 is about 1499.0287045258.

The spelling of 3368448000 in words is "three billion, three hundred sixty-eight million, four hundred forty-eight thousand".