3329766 has 48 divisors (see below), whose sum is σ = 8019648. Its totient is φ = 990000.

The previous prime is 3329761. The next prime is 3329789. The reversal of 3329766 is 6679233.

It is a super-2 number, since 2×3329766² = 22174683229512, which contains 22 as substring.

It is a d-powerful number, because it can be written as 3⁸ + 3¹³ + 2⁷ + 9² + 7⁴ + 6⁶ + 6⁸ .

It is a self number, because there is not a number n which added to its sum of digits gives 3329766.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3329761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13141 + ... + 13391.

It is an arithmetic number, because the mean of its divisors is an integer number (167076).

Almost surely, 2^3329766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3329766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4009824).

3329766 is an abundant number, since it is smaller than the sum of its proper divisors (4689882).

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

3329766 is a wasteful number, since it uses less digits than its factorization.

3329766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 334 counting only the distinct ones).

The product of its digits is 40824, while the sum is 36.

The square root of 3329766 is about 1824.7646423580. The cubic root of 3329766 is about 149.3268503156.

It can be divided in two parts, 3329 and 766, that added together give a triangular number (4095 = T₉₀).

The spelling of 3329766 in words is "three million, three hundred twenty-nine thousand, seven hundred sixty-six".