3430683168 has 192 divisors, whose sum is σ = 10414656000. Its totient is φ = 977909760.

The previous prime is 3430683167. The next prime is 3430683199. The reversal of 3430683168 is 8613860343.

It is not an unprimeable number, because it can be changed into a prime (3430683167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3269908 + ... + 3270956.

It is an arithmetic number, because the mean of its divisors is an integer number (54243000).

Almost surely, 2^3430683168 is an apocalyptic number.

3430683168 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 3430683168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5207328000).

3430683168 is an abundant number, since it is smaller than the sum of its proper divisors (6983972832).

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

3430683168 is a wasteful number, since it uses less digits than its factorization.

3430683168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 3430683168 is about 58572.0340094144. The cubic root of 3430683168 is about 1508.2044016027.

The spelling of 3430683168 in words is "three billion, four hundred thirty million, six hundred eighty-three thousand, one hundred sixty-eight".