3172064 has 72 divisors (see below), whose sum is σ = 7736400. Its totient is φ = 1279488.

The previous prime is 3172063. The next prime is 3172073. The reversal of 3172064 is 4602713.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-3 number, since 3×3172064³ = 95751828933317394432, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3172063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 186584 + ... + 186600.

It is an arithmetic number, because the mean of its divisors is an integer number (107450).

Almost surely, 2^3172064 is an apocalyptic number.

3172064 is a gapful number since it is divisible by the number (34) 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 3172064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3868200).

3172064 is an abundant number, since it is smaller than the sum of its proper divisors (4564336).

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

3172064 is an equidigital number, since it uses as much as digits as its factorization.

3172064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 3172064 is about 1781.0289161044. The cubic root of 3172064 is about 146.9311847217.

Adding to 3172064 its reverse (4602713), we get a palindrome (7774777).

The spelling of 3172064 in words is "three million, one hundred seventy-two thousand, sixty-four".