3213303120 has 60 divisors (see below), whose sum is σ = 10791345396. Its totient is φ = 856880640.

The previous prime is 3213303101. The next prime is 3213303131. The reversal of 3213303120 is 213033123.

3213303120 is a `hidden beast` number, since 3 + 21 + 330 + 312 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 993762576 + 2219540544 = 31524^2 + 47112^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 = 3213303093 and 3213303102.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 2230741 + ... + 2232180.

Almost surely, 2^3213303120 is an apocalyptic number.

3213303120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3213303120 is an abundant number, since it is smaller than the sum of its proper divisors (7578042276).

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

3213303120 is a wasteful number, since it uses less digits than its factorization.

3213303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4462940 (or 4462931 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3213303120 is about 56686.0046219523. The cubic root of 3213303120 is about 1475.6518226044.

Adding to 3213303120 its reverse (213033123), we get a palindrome (3426336243).

The spelling of 3213303120 in words is "three billion, two hundred thirteen million, three hundred three thousand, one hundred twenty".