3429216 has 144 divisors (see below), whose sum is σ = 11778480. Its totient is φ = 979776.

The previous prime is 3429203. The next prime is 3429287. The reversal of 3429216 is 6129243.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (2592) is a multiple of the sum of its prime divisors (12).

It is a self number, because there is not a number n which added to its sum of digits gives 3429216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 489885 + ... + 489891.

It is an arithmetic number, because the mean of its divisors is an integer number (81795).

Almost surely, 2^3429216 is an apocalyptic number.

3429216 is a gapful number since it is divisible by the number (36) 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 3429216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5889240).

3429216 is an abundant number, since it is smaller than the sum of its proper divisors (8349264).

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

3429216 is an frugal number, since it uses more digits than its factorization.

3429216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 12 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 3429216 is about 1851.8142455441. The cubic root of 3429216 is about 150.7989371083.

Adding to 3429216 its sum of digits (27), we get a palindrome (3429243).

The spelling of 3429216 in words is "three million, four hundred twenty-nine thousand, two hundred sixteen".