3210381216 has 480 divisors, whose sum is σ = 11562566400. Its totient is φ = 871782912.

The previous prime is 3210381199. The next prime is 3210381271. The reversal of 3210381216 is 6121830123.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 3210381216.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20448210 + ... + 20448366.

It is an arithmetic number, because the mean of its divisors is an integer number (24088680).

Almost surely, 2^3210381216 is an apocalyptic number.

3210381216 is a gapful number since it is divisible by the number (36) 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 3210381216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5781283200).

3210381216 is an abundant number, since it is smaller than the sum of its proper divisors (8352185184).

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

3210381216 is a wasteful number, since it uses less digits than its factorization.

3210381216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3210381216 is about 56660.2260496726. The cubic root of 3210381216 is about 1475.2044096295.

The spelling of 3210381216 in words is "three billion, two hundred ten million, three hundred eighty-one thousand, two hundred sixteen".