3406189968 has 200 divisors, whose sum is σ = 10352760000. Its totient is φ = 1079122176.

The previous prime is 3406189967. The next prime is 3406189979. The reversal of 3406189968 is 8699816043.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3406189961) 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 39 ways as a sum of consecutive naturals, for example, 6825783 + ... + 6826281.

It is an arithmetic number, because the mean of its divisors is an integer number (51763800).

Almost surely, 2^3406189968 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 3406189968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5176380000).

3406189968 is an abundant number, since it is smaller than the sum of its proper divisors (6946570032).

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

3406189968 is a wasteful number, since it uses less digits than its factorization.

3406189968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 3406189968 is about 58362.5733497076. The cubic root of 3406189968 is about 1504.6065744989.

The spelling of 3406189968 in words is "three billion, four hundred six million, one hundred eighty-nine thousand, nine hundred sixty-eight".