3366920 has 32 divisors (see below), whose sum is σ = 7764120. Its totient is φ = 1313280.

The previous prime is 3366917. The next prime is 3366973. The reversal of 3366920 is 296633.

It can be written as a sum of positive squares in 4 ways, for example, as 1844164 + 1522756 = 1358^2 + 1234^2 .

It is a super-3 number, since 3×3366920³ (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 614 + ... + 2666.

Almost surely, 2^3366920 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 3366920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3882060).

3366920 is an abundant number, since it is smaller than the sum of its proper divisors (4397200).

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

3366920 is a wasteful number, since it uses less digits than its factorization.

3366920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2105 (or 2101 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 29.

The square root of 3366920 is about 1834.9168918510. The cubic root of 3366920 is about 149.8802006425.

It can be divided in two parts, 33669 and 20, that multiplied together give a triangular number (673380 = T₁₁₆₀).

The spelling of 3366920 in words is "three million, three hundred sixty-six thousand, nine hundred twenty".