3329704 has 32 divisors (see below), whose sum is σ = 7332480. Its totient is φ = 1387584.

The previous prime is 3329659. The next prime is 3329707. The reversal of 3329704 is 4079233.

3329704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×3329704⁴ (a number of 27 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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 + 3¹³ + 2¹⁷ + 9⁴ + 7⁴ + 0 + 4⁵ .

It is not an unprimeable number, because it can be changed into a prime (3329707) 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, 1269 + ... + 2875.

It is an arithmetic number, because the mean of its divisors is an integer number (229140).

Almost surely, 2^3329704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3329704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3666240).

3329704 is an abundant number, since it is smaller than the sum of its proper divisors (4002776).

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

3329704 is a wasteful number, since it uses less digits than its factorization.

3329704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657 (or 1653 counting only the distinct ones).

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

The square root of 3329704 is about 1824.7476537867. The cubic root of 3329704 is about 149.3259234915.

The spelling of 3329704 in words is "three million, three hundred twenty-nine thousand, seven hundred four".