3408816000 has 256 divisors, whose sum is σ = 11548293120. Its totient is φ = 889088000.

The previous prime is 3408815929. The next prime is 3408816007. The reversal of 3408816000 is 6188043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3408816007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2255245 + ... + 2256755.

It is an arithmetic number, because the mean of its divisors is an integer number (45110520).

Almost surely, 2^3408816000 is an apocalyptic number.

3408816000 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 3408816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5774146560).

3408816000 is an abundant number, since it is smaller than the sum of its proper divisors (8139477120).

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

3408816000 is a wasteful number, since it uses less digits than its factorization.

3408816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 1568 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 3408816000 is about 58385.0665838449. The cubic root of 3408816000 is about 1504.9931383815.

The spelling of 3408816000 in words is "three billion, four hundred eight million, eight hundred sixteen thousand".