3205131216 has 160 divisors (see below), whose sum is σ = 9763565568. Its totient is φ = 886878720.

The previous prime is 3205131191. The next prime is 3205131229. The reversal of 3205131216 is 6121315023.

It is a super-2 number, since 2×3205131216² = 20545732223555277312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 3517801 + ... + 3518711.

Almost surely, 2^3205131216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3205131216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4881782784).

3205131216 is an abundant number, since it is smaller than the sum of its proper divisors (6558434352).

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

3205131216 is a wasteful number, since it uses less digits than its factorization.

3205131216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 3205131216 is about 56613.8782985232. The cubic root of 3205131216 is about 1474.3998272218.

Adding to 3205131216 its reverse (6121315023), we get a palindrome (9326446239).

It can be divided in two parts, 3205 and 131216, that added together give a triangular number (134421 = T₅₁₈).

The spelling of 3205131216 in words is "three billion, two hundred five million, one hundred thirty-one thousand, two hundred sixteen".