3213211320 has 192 divisors, whose sum is σ = 11887948800. Its totient is φ = 745071360.

The previous prime is 3213211301. The next prime is 3213211333. The reversal of 3213211320 is 231123123.

3213211320 is a `hidden beast` number, since 3 + 21 + 321 + 1 + 320 = 666.

It is a super-2 number, since 2×3213211320² = 20649453973952284800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3213211293 and 3213211302.

It is a congruent number.

It is an unprimeable number.

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, 73441 + ... + 108719.

It is an arithmetic number, because the mean of its divisors is an integer number (61916400).

Almost surely, 2^3213211320 is an apocalyptic number.

3213211320 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 3213211320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5943974400).

3213211320 is an abundant number, since it is smaller than the sum of its proper divisors (8674737480).

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

3213211320 is a wasteful number, since it uses less digits than its factorization.

3213211320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35330 (or 35323 counting only the distinct ones).

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

The square root of 3213211320 is about 56685.1948924938. The cubic root of 3213211320 is about 1475.6377699695.

Adding to 3213211320 its reverse (231123123), we get a palindrome (3444334443).

The spelling of 3213211320 in words is "three billion, two hundred thirteen million, two hundred eleven thousand, three hundred twenty".