3206640960 has 280 divisors, whose sum is σ = 11483574696. Its totient is φ = 849346560.

The previous prime is 3206640959. The next prime is 3206640989. The reversal of 3206640960 is 690466023.

3206640960 is a `hidden beast` number, since 3 + 2 + 0 + 6 + 640 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 534164544 + 2672476416 = 23112^2 + 51696^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 5002240 + ... + 5002880.

Almost surely, 2^3206640960 is an apocalyptic number.

3206640960 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 3206640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5741787348).

3206640960 is an abundant number, since it is smaller than the sum of its proper divisors (8276933736).

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

3206640960 is a wasteful number, since it uses less digits than its factorization.

3206640960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3206640960 is about 56627.2104204330. The cubic root of 3206640960 is about 1474.6312911597.

The spelling of 3206640960 in words is "three billion, two hundred six million, six hundred forty thousand, nine hundred sixty".