3209985768 has 192 divisors, whose sum is σ = 9202152960. Its totient is φ = 931392000.

The previous prime is 3209985739. The next prime is 3209985787. The reversal of 3209985768 is 8675899023.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16294246 + ... + 16294442.

It is an arithmetic number, because the mean of its divisors is an integer number (47927880).

Almost surely, 2^3209985768 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 3209985768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4601076480).

3209985768 is an abundant number, since it is smaller than the sum of its proper divisors (5992167192).

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

3209985768 is a wasteful number, since it uses less digits than its factorization.

3209985768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 57.

The square root of 3209985768 is about 56656.7362985197. The cubic root of 3209985768 is about 1475.1438362844.

The spelling of 3209985768 in words is "three billion, two hundred nine million, nine hundred eighty-five thousand, seven hundred sixty-eight".