3430686000 has 320 divisors, whose sum is σ = 12906316800. Its totient is φ = 783686400.

The previous prime is 3430685987. The next prime is 3430686031. The reversal of 3430686000 is 6860343.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2057167 + ... + 2058833.

It is an arithmetic number, because the mean of its divisors is an integer number (40332240).

Almost surely, 2^3430686000 is an apocalyptic number.

3430686000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3430686000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6453158400).

3430686000 is an abundant number, since it is smaller than the sum of its proper divisors (9475630800).

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

3430686000 is a wasteful number, since it uses less digits than its factorization.

3430686000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 3430686000 is about 58572.0581847693. The cubic root of 3430686000 is about 1508.2048166059.

The spelling of 3430686000 in words is "three billion, four hundred thirty million, six hundred eighty-six thousand".