3429237168 has 160 divisors (see below), whose sum is σ = 11479424000. Its totient is φ = 979739712.

The previous prime is 3429237151. The next prime is 3429237191. The reversal of 3429237168 is 8617329243.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136605 + ... + 159747.

It is an arithmetic number, because the mean of its divisors is an integer number (71746400).

Almost surely, 2^3429237168 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 3429237168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5739712000).

3429237168 is an abundant number, since it is smaller than the sum of its proper divisors (8050186832).

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

3429237168 is a wasteful number, since it uses less digits than its factorization.

3429237168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23181 (or 23155 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 3429237168 is about 58559.6889336000. The cubic root of 3429237168 is about 1507.9924739356.

The spelling of 3429237168 in words is "three billion, four hundred twenty-nine million, two hundred thirty-seven thousand, one hundred sixty-eight".