3216788820 has 144 divisors (see below), whose sum is σ = 11181905280. Its totient is φ = 733264128.

The previous prime is 3216788819. The next prime is 3216788821. The reversal of 3216788820 is 288876123.

It is an interprime number because it is at equal distance from previous prime (3216788819) and next prime (3216788821).

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 (3216788821) 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 47 ways as a sum of consecutive naturals, for example, 486859 + ... + 493421.

It is an arithmetic number, because the mean of its divisors is an integer number (77652120).

Almost surely, 2^3216788820 is an apocalyptic number.

3216788820 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 3216788820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5590952640).

3216788820 is an abundant number, since it is smaller than the sum of its proper divisors (7965116460).

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

3216788820 is a wasteful number, since it uses less digits than its factorization.

3216788820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6974 (or 6969 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 3216788820 is about 56716.7419727191. The cubic root of 3216788820 is about 1476.1852115172.

The spelling of 3216788820 in words is "three billion, two hundred sixteen million, seven hundred eighty-eight thousand, eight hundred twenty".