3429615168 has 280 divisors, whose sum is σ = 12023140800. Its totient is φ = 945810432.

The previous prime is 3429615143. The next prime is 3429615187. The reversal of 3429615168 is 8615169243.

3429615168 is a `hidden beast` number, since 3 + 4 + 29 + 615 + 1 + 6 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1050723 + ... + 1053981.

Almost surely, 2^3429615168 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 3429615168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6011570400).

3429615168 is an abundant number, since it is smaller than the sum of its proper divisors (8593525632).

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

3429615168 is a wasteful number, since it uses less digits than its factorization.

3429615168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3319 (or 3300 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 3429615168 is about 58562.9163208254. The cubic root of 3429615168 is about 1508.0478798645.

The spelling of 3429615168 in words is "three billion, four hundred twenty-nine million, six hundred fifteen thousand, one hundred sixty-eight".