3481872 has 60 divisors (see below), whose sum is σ = 9593136. Its totient is φ = 1088000.

The previous prime is 3481859. The next prime is 3481879. The reversal of 3481872 is 2781843.

It is not an unprimeable number, because it can be changed into a prime (3481879) by changing a digit.

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, 13747 + ... + 13997.

Almost surely, 2^3481872 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 3481872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4796568).

3481872 is an abundant number, since it is smaller than the sum of its proper divisors (6111264).

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

3481872 is a wasteful number, since it uses less digits than its factorization.

3481872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 273 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 3481872 is about 1865.9774918257. The cubic root of 3481872 is about 151.5668647980.

The spelling of 3481872 in words is "three million, four hundred eighty-one thousand, eight hundred seventy-two".