3401368068 has 192 divisors, whose sum is σ = 9870336000. Its totient is φ = 890113536.

The previous prime is 3401368067. The next prime is 3401368093. The reversal of 3401368068 is 8608631043.

It is not an unprimeable number, because it can be changed into a prime (3401368063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6682198 + ... + 6682706.

It is an arithmetic number, because the mean of its divisors is an integer number (51408000).

Almost surely, 2^3401368068 is an apocalyptic number.

3401368068 is a gapful number since it is divisible by the number (38) 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 3401368068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4935168000).

3401368068 is an abundant number, since it is smaller than the sum of its proper divisors (6468967932).

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

3401368068 is a wasteful number, since it uses less digits than its factorization.

3401368068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 3401368068 is about 58321.2488549414. The cubic root of 3401368068 is about 1503.8962511663.

The spelling of 3401368068 in words is "three billion, four hundred one million, three hundred sixty-eight thousand, sixty-eight".