3429291168 has 360 divisors, whose sum is σ = 10977211476. Its totient is φ = 1049241600.

The previous prime is 3429291139. The next prime is 3429291169. The reversal of 3429291168 is 8611929243.

3429291168 is a `hidden beast` number, since 342 + 9 + 291 + 16 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2386517904 + 1042773264 = 48852^2 + 32292^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3429291169) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 56217858 + ... + 56217918.

Almost surely, 2^3429291168 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 3429291168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5488605738).

3429291168 is an abundant number, since it is smaller than the sum of its proper divisors (7547920308).

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

3429291168 is a wasteful number, since it uses less digits than its factorization.

3429291168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 130 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 3429291168 is about 58560.1499998079. The cubic root of 3429291168 is about 1508.0003893176. Note that the first 3 decimals are identical.

The spelling of 3429291168 in words is "three billion, four hundred twenty-nine million, two hundred ninety-one thousand, one hundred sixty-eight".