3384288 has 48 divisors (see below), whose sum is σ = 9873360. Its totient is φ = 1127808.

The previous prime is 3384287. The next prime is 3384313. The reversal of 3384288 is 8824833.

It is a happy number.

3384288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3384288² = 22906810533888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3384287) by changing a digit.

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, 1095 + ... + 2822.

It is an arithmetic number, because the mean of its divisors is an integer number (205695).

Almost surely, 2^3384288 is an apocalyptic number.

It is an amenable number.

3384288 is an abundant number, since it is smaller than the sum of its proper divisors (6489072).

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

3384288 is a wasteful number, since it uses less digits than its factorization.

3384288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3936 (or 3922 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 3384288 is about 1839.6434437140. The cubic root of 3384288 is about 150.1374739676.

It can be divided in two parts, 33842 and 88, that added together give a triangular number (33930 = T₂₆₀).

The spelling of 3384288 in words is "three million, three hundred eighty-four thousand, two hundred eighty-eight".