3209889060 has 252 divisors, whose sum is σ = 11759189148. Its totient is φ = 733525632.

The previous prime is 3209889049. The next prime is 3209889077. The reversal of 3209889060 is 609889023.

It can be written as a sum of positive squares in 2 ways, for example, as 2489610816 + 720278244 = 49896^2 + 26838^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 3209888997 and 3209889015.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 712174 + ... + 716666.

It is an arithmetic number, because the mean of its divisors is an integer number (46663449).

Almost surely, 2^3209889060 is an apocalyptic number.

3209889060 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 3209889060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5879594574).

3209889060 is an abundant number, since it is smaller than the sum of its proper divisors (8549300088).

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

3209889060 is a wasteful number, since it uses less digits than its factorization.

3209889060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4534 (or 4510 counting only the distinct ones).

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

The square root of 3209889060 is about 56655.8828366481. The cubic root of 3209889060 is about 1475.1290221333.

The spelling of 3209889060 in words is "three billion, two hundred nine million, eight hundred eighty-nine thousand, sixty".