3216965760 has 512 divisors, whose sum is σ = 12373171200. Its totient is φ = 786825216.

The previous prime is 3216965711. The next prime is 3216965803. The reversal of 3216965760 is 675696123.

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

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, 13806604 + ... + 13806836.

It is an arithmetic number, because the mean of its divisors is an integer number (24166350).

Almost surely, 2^3216965760 is an apocalyptic number.

3216965760 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 3216965760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6186585600).

3216965760 is an abundant number, since it is smaller than the sum of its proper divisors (9156205440).

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

3216965760 is a wasteful number, since it uses less digits than its factorization.

3216965760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 3216965760 is about 56718.3018081465. The cubic root of 3216965760 is about 1476.2122769580.

The spelling of 3216965760 in words is "three billion, two hundred sixteen million, nine hundred sixty-five thousand, seven hundred sixty".