3398689956816 has 320 divisors, whose sum is σ = 12280796835840. Its totient is φ = 874205084160.

The previous prime is 3398689956797. The next prime is 3398689956817. The reversal of 3398689956816 is 6186599868933.

3398689956816 is a `hidden beast` number, since 3 + 39 + 8 + 6 + 8 + 9 + 9 + 568 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3398689956817) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2930206 + ... + 3922178.

It is an arithmetic number, because the mean of its divisors is an integer number (38377490112).

Almost surely, 2^{3398689956816} is an apocalyptic number.

3398689956816 is a gapful number since it is divisible by the number (36) 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 3398689956816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6140398417920).

3398689956816 is an abundant number, since it is smaller than the sum of its proper divisors (8882106879024).

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

3398689956816 is a wasteful number, since it uses less digits than its factorization.

3398689956816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992111 (or 992099 counting only the distinct ones).

The product of its digits is 3627970560, while the sum is 81.

The spelling of 3398689956816 in words is "three trillion, three hundred ninety-eight billion, six hundred eighty-nine million, nine hundred fifty-six thousand, eight hundred sixteen".