3481968 has 80 divisors (see below), whose sum is σ = 10562816. Its totient is φ = 967680.

The previous prime is 3481967. The next prime is 3481969. The reversal of 3481968 is 8691843.

3481968 is nontrivially palindromic in base 13.

It is an interprime number because it is at equal distance from previous prime (3481967) and next prime (3481969).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3481967) 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, 14328 + ... + 14568.

Almost surely, 2^3481968 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 3481968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5281408).

3481968 is an abundant number, since it is smaller than the sum of its proper divisors (7080848).

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

3481968 is a wasteful number, since it uses less digits than its factorization.

3481968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 296 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 3481968 is about 1866.0032154313. The cubic root of 3481968 is about 151.5682577541.

The spelling of 3481968 in words is "three million, four hundred eighty-one thousand, nine hundred sixty-eight".