3383872 has 28 divisors (see below), whose sum is σ = 6901180. Its totient is φ = 1645056.

The previous prime is 3383837. The next prime is 3383879. The reversal of 3383872 is 2783833.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1577536 + 1806336 = 1256^2 + 1344^2 .

It is a super-2 number, since 2×3383872² = 22901179424768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3383879) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1654 + ... + 3082.

Almost surely, 2^3383872 is an apocalyptic number.

3383872 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 3383872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3450590).

3383872 is an abundant number, since it is smaller than the sum of its proper divisors (3517308).

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

3383872 is a wasteful number, since it uses less digits than its factorization.

3383872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478 (or 1468 counting only the distinct ones).

The product of its digits is 24192, while the sum is 34.

The square root of 3383872 is about 1839.5303748511. The cubic root of 3383872 is about 150.1313220336.

It can be divided in two parts, 338 and 3872, that multiplied together give a square (1308736 = 1144²).

The spelling of 3383872 in words is "three million, three hundred eighty-three thousand, eight hundred seventy-two".