3393818496000 has 1584 divisors, whose sum is σ = 13190424668928. Its totient is φ = 838139904000.

The previous prime is 3393818495923. The next prime is 3393818496097. The reversal of 3393818496000 is 6948183933.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 30033791944 + ... + 30033792056.

Almost surely, 2^{3393818496000} is an apocalyptic number.

3393818496000 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 3393818496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6595212334464).

3393818496000 is an abundant number, since it is smaller than the sum of its proper divisors (9796606172928).

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

3393818496000 is a wasteful number, since it uses less digits than its factorization.

3393818496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 3393818496000 in words is "three trillion, three hundred ninety-three billion, eight hundred eighteen million, four hundred ninety-six thousand".