3209849868960 has 1344 divisors, whose sum is σ = 13878801377280. Its totient is φ = 685372907520.

The previous prime is 3209849868949. The next prime is 3209849868977. The reversal of 3209849868960 is 698689489023.

It is a happy number.

3209849868960 is a `hidden beast` number, since 320 + 9 + 84 + 98 + 6 + 89 + 60 = 666.

3209849868960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 734013334 + ... + 734017706.

It is an arithmetic number, because the mean of its divisors is an integer number (10326489120).

Almost surely, 2^{3209849868960} is an apocalyptic number.

3209849868960 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 3209849868960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6939400688640).

3209849868960 is an abundant number, since it is smaller than the sum of its proper divisors (10668951508320).

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

3209849868960 is a wasteful number, since it uses less digits than its factorization.

3209849868960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4473 (or 4450 counting only the distinct ones).

The product of its (nonzero) digits is 322486272, while the sum is 72.

The spelling of 3209849868960 in words is "three trillion, two hundred nine billion, eight hundred forty-nine million, eight hundred sixty-eight thousand, nine hundred sixty".