3396288000 has 720 divisors, whose sum is σ = 13863090384. Its totient is φ = 735436800.

The previous prime is 3396287969. The next prime is 3396288029. The reversal of 3396288000 is 8826933.

It is a self number, because there is not a number n which added to its sum of digits gives 3396288000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 178751991 + ... + 178752009.

Almost surely, 2^3396288000 is an apocalyptic number.

3396288000 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 3396288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6931545192).

3396288000 is an abundant number, since it is smaller than the sum of its proper divisors (10466802384).

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

3396288000 is an equidigital number, since it uses as much as digits as its factorization.

3396288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 3396288000 is about 58277.6801185497. The cubic root of 3396288000 is about 1503.1471700402.

The spelling of 3396288000 in words is "three billion, three hundred ninety-six million, two hundred eighty-eight thousand".