3129216 has 64 divisors (see below), whose sum is σ = 8629200. Its totient is φ = 1003520.

The previous prime is 3129209. The next prime is 3129221. The reversal of 3129216 is 6129213.

It is a tau number, because it is divible by the number of its divisors (64).

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 (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10996 + ... + 11276.

Almost surely, 2^3129216 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 3129216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4314600).

3129216 is an abundant number, since it is smaller than the sum of its proper divisors (5499984).

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

3129216 is a wasteful number, since it uses less digits than its factorization.

3129216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 315 counting only the distinct ones).

The product of its digits is 648, while the sum is 24.

The square root of 3129216 is about 1768.9590159187. The cubic root of 3129216 is about 146.2666048792.

The spelling of 3129216 in words is "three million, one hundred twenty-nine thousand, two hundred sixteen".