3398303389320 has 768 divisors, whose sum is σ = 13189679193600. Its totient is φ = 742753566720.

The previous prime is 3398303389301. The next prime is 3398303389343. The reversal of 3398303389320 is 239833038933.

3398303389320 is a `hidden beast` number, since 3 + 3 + 9 + 8 + 303 + 3 + 8 + 9 + 320 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1072356696 + ... + 1072359864.

It is an arithmetic number, because the mean of its divisors is an integer number (17174061450).

Almost surely, 2^{3398303389320} is an apocalyptic number.

3398303389320 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 3398303389320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6594839596800).

3398303389320 is an abundant number, since it is smaller than the sum of its proper divisors (9791375804280).

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

3398303389320 is a wasteful number, since it uses less digits than its factorization.

3398303389320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3438 (or 3431 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 54.

The spelling of 3398303389320 in words is "three trillion, three hundred ninety-eight billion, three hundred three million, three hundred eighty-nine thousand, three hundred twenty".