3305720 has 48 divisors (see below), whose sum is σ = 8187480. Its totient is φ = 1200320.

The previous prime is 3305719. The next prime is 3305749. The reversal of 3305720 is 275033.

3305720 = T₄₃₁ + T₄₃₂ + ... + T₄₆₃.

3305720 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3305692 and 3305701.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4499 + ... + 5181.

Almost surely, 2^3305720 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 3305720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4093740).

3305720 is an abundant number, since it is smaller than the sum of its proper divisors (4881760).

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

3305720 is a wasteful number, since it uses less digits than its factorization.

3305720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 20.

The square root of 3305720 is about 1818.1639090027. The cubic root of 3305720 is about 148.9665255192.

The spelling of 3305720 in words is "three million, three hundred five thousand, seven hundred twenty".