3968172 has 72 divisors (see below), whose sum is σ = 11058320. Its totient is φ = 1192320.

The previous prime is 3968149. The next prime is 3968177. The reversal of 3968172 is 2718693.

3968172 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3968177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28479 + ... + 28617.

Almost surely, 2^3968172 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 3968172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5529160).

3968172 is an abundant number, since it is smaller than the sum of its proper divisors (7090148).

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

3968172 is a wasteful number, since it uses less digits than its factorization.

3968172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 218 counting only the distinct ones).

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

The square root of 3968172 is about 1992.0271082493. The cubic root of 3968172 is about 158.3179518453.

The spelling of 3968172 in words is "three million, nine hundred sixty-eight thousand, one hundred seventy-two".