3397834934568 has 192 divisors, whose sum is σ = 9505662566400. Its totient is φ = 1096083031680.

The previous prime is 3397834934561. The next prime is 3397834934573. The reversal of 3397834934568 is 8654394387933.

3397834934568 is a `hidden beast` number, since 3 + 3 + 9 + 7 + 83 + 4 + 93 + 456 + 8 = 666.

3397834934568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3397834934496 and 3397834934505.

It is not an unprimeable number, because it can be changed into a prime (3397834934561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59928873 + ... + 59985543.

It is an arithmetic number, because the mean of its divisors is an integer number (49508659200).

Almost surely, 2^{3397834934568} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3397834934568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4752831283200).

3397834934568 is an abundant number, since it is smaller than the sum of its proper divisors (6107827631832).

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

3397834934568 is a wasteful number, since it uses less digits than its factorization.

3397834934568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56972 (or 56965 counting only the distinct ones).

The product of its digits is 1410877440, while the sum is 72.

The spelling of 3397834934568 in words is "three trillion, three hundred ninety-seven billion, eight hundred thirty-four million, nine hundred thirty-four thousand, five hundred sixty-eight".