3271968 has 96 divisors (see below), whose sum is σ = 10926720. Its totient is φ = 933120.

The previous prime is 3271967. The next prime is 3271981. The reversal of 3271968 is 8691723.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

Its product of digits (18144) is a multiple of the sum of its prime factors (567).

It is not an unprimeable number, because it can be changed into a prime (3271967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5778 + ... + 6318.

It is an arithmetic number, because the mean of its divisors is an integer number (113820).

Almost surely, 2^3271968 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 3271968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5463360).

3271968 is an abundant number, since it is smaller than the sum of its proper divisors (7654752).

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

3271968 is a wasteful number, since it uses less digits than its factorization.

3271968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 553 counting only the distinct ones).

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

The square root of 3271968 is about 1808.8582033979. The cubic root of 3271968 is about 148.4577984356.

The spelling of 3271968 in words is "three million, two hundred seventy-one thousand, nine hundred sixty-eight".