3216936960 has 312 divisors, whose sum is σ = 11530831104. Its totient is φ = 828702720.

The previous prime is 3216936907. The next prime is 3216936967. The reversal of 3216936960 is 696396123.

It is a happy number.

It is a super-2 number, since 2×3216936960² = 20697366809228083200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3216936967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5713639 + ... + 5714201.

It is an arithmetic number, because the mean of its divisors is an integer number (36957792).

Almost surely, 2^3216936960 is an apocalyptic number.

3216936960 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 3216936960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5765415552).

3216936960 is an abundant number, since it is smaller than the sum of its proper divisors (8313894144).

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

3216936960 is a wasteful number, since it uses less digits than its factorization.

3216936960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The square root of 3216936960 is about 56718.0479212746. The cubic root of 3216936960 is about 1476.2078716639.

The spelling of 3216936960 in words is "three billion, two hundred sixteen million, nine hundred thirty-six thousand, nine hundred sixty".