3172896 has 72 divisors (see below), whose sum is σ = 9434880. Its totient is φ = 1009536.

The previous prime is 3172889. The next prime is 3172901. The reversal of 3172896 is 6982713.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3172896.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6385 + ... + 6863.

It is an arithmetic number, because the mean of its divisors is an integer number (131040).

Almost surely, 2^3172896 is an apocalyptic number.

3172896 is a gapful number since it is divisible by the number (36) 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 3172896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4717440).

3172896 is an abundant number, since it is smaller than the sum of its proper divisors (6261984).

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

3172896 is a wasteful number, since it uses less digits than its factorization.

3172896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 507 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 3172896 is about 1781.2624736405. The cubic root of 3172896 is about 146.9440297819.

It can be divided in two parts, 31 and 72896, that added together give a palindrome (72927).

The spelling of 3172896 in words is "three million, one hundred seventy-two thousand, eight hundred ninety-six".