3213216000 has 288 divisors, whose sum is σ = 11861740800. Its totient is φ = 856627200.

The previous prime is 3213215987. The next prime is 3213216007. The reversal of 3213216000 is 6123123.

3213216000 is a `hidden beast` number, since 32 + 1 + 32 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3213216007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 862141 + ... + 865859.

It is an arithmetic number, because the mean of its divisors is an integer number (41186600).

Almost surely, 2^3213216000 is an apocalyptic number.

3213216000 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 3213216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5930870400).

3213216000 is an abundant number, since it is smaller than the sum of its proper divisors (8648524800).

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

3213216000 is an equidigital number, since it uses as much as digits as its factorization.

3213216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3759 (or 3729 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3213216000 is about 56685.2361730989. The cubic root of 3213216000 is about 1475.6384863848.

Adding to 3213216000 its reverse (6123123), we get a palindrome (3219339123).

The spelling of 3213216000 in words is "three billion, two hundred thirteen million, two hundred sixteen thousand".