3216937680 has 200 divisors, whose sum is σ = 12188889504. Its totient is φ = 779846400.

The previous prime is 3216937667. The next prime is 3216937687. The reversal of 3216937680 is 867396123.

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 (3216937687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 48715 + ... + 93845.

Almost surely, 2^3216937680 is an apocalyptic number.

3216937680 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 3216937680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6094444752).

3216937680 is an abundant number, since it is smaller than the sum of its proper divisors (8971951824).

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

3216937680 is a wasteful number, since it uses less digits than its factorization.

3216937680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45167 (or 45152 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 3216937680 is about 56718.0542684602. The cubic root of 3216937680 is about 1476.2079817966.

The spelling of 3216937680 in words is "three billion, two hundred sixteen million, nine hundred thirty-seven thousand, six hundred eighty".