3483872 has 48 divisors (see below), whose sum is σ = 7967232. Its totient is φ = 1468800.

The previous prime is 3483869. The next prime is 3483881. The reversal of 3483872 is 2783843.

It is a super-2 number, since 2×3483872² = 24274728224768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22997 + ... + 23147.

It is an arithmetic number, because the mean of its divisors is an integer number (165984).

Almost surely, 2^3483872 is an apocalyptic number.

3483872 is a gapful number since it is divisible by the number (32) 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 3483872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3983616).

3483872 is an abundant number, since it is smaller than the sum of its proper divisors (4483360).

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

3483872 is a wasteful number, since it uses less digits than its factorization.

3483872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 263 counting only the distinct ones).

The product of its digits is 32256, while the sum is 35.

The square root of 3483872 is about 1866.5133270352. The cubic root of 3483872 is about 151.5958794303.

The spelling of 3483872 in words is "three million, four hundred eighty-three thousand, eight hundred seventy-two".