3430749168 has 400 divisors, whose sum is σ = 12790609920. Its totient is φ = 861580800.

The previous prime is 3430749149. The next prime is 3430749173. The reversal of 3430749168 is 8619470343.

3430749168 is a `hidden beast` number, since 3 + 430 + 74 + 91 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3092998 + ... + 3094106.

Almost surely, 2^3430749168 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 3430749168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6395304960).

3430749168 is an abundant number, since it is smaller than the sum of its proper divisors (9359860752).

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

3430749168 is a wasteful number, since it uses less digits than its factorization.

3430749168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1163 counting only the distinct ones).

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

The square root of 3430749168 is about 58572.5974155150. The cubic root of 3430749168 is about 1508.2140732286.

The spelling of 3430749168 in words is "three billion, four hundred thirty million, seven hundred forty-nine thousand, one hundred sixty-eight".