3459830000 has 200 divisors, whose sum is σ = 9287726976. Its totient is φ = 1237600000.

The previous prime is 3459829969. The next prime is 3459830041. The reversal of 3459830000 is 389543.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

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, 7809779 + ... + 7810221.

Almost surely, 2^3459830000 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 3459830000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4643863488).

3459830000 is an abundant number, since it is smaller than the sum of its proper divisors (5827896976).

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

3459830000 is a wasteful number, since it uses less digits than its factorization.

3459830000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 3459830000 is about 58820.3196183088. The cubic root of 3459830000 is about 1512.4635603542.

The spelling of 3459830000 in words is "three billion, four hundred fifty-nine million, eight hundred thirty thousand".