3439072 has 48 divisors (see below), whose sum is σ = 8340192. Its totient is φ = 1359360.

The previous prime is 3439063. The next prime is 3439091. The reversal of 3439072 is 2709343.

3439072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a d-powerful number, because it can be written as 3¹³ + 4⁸ + 3¹³ + 9⁵ + 0 + 7⁶ + 2¹³ .

It is a self number, because there is not a number n which added to its sum of digits gives 3439072.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2322 + ... + 3502.

It is an arithmetic number, because the mean of its divisors is an integer number (173754).

Almost surely, 2^3439072 is an apocalyptic number.

3439072 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 3439072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4170096).

3439072 is an abundant number, since it is smaller than the sum of its proper divisors (4901120).

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

3439072 is a wasteful number, since it uses less digits than its factorization.

3439072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 28.

The square root of 3439072 is about 1854.4735101910. The cubic root of 3439072 is about 150.9432706508.

It can be divided in two parts, 343 and 9072, that multiplied together give a 4-th power (3111696 = 42⁴).

The spelling of 3439072 in words is "three million, four hundred thirty-nine thousand, seventy-two".