3366720 has 168 divisors, whose sum is σ = 13313664. Its totient is φ = 764928.

The previous prime is 3366709. The next prime is 3366739. The reversal of 3366720 is 276633.

3366720 = T₄₂₁ + T₄₂₂ + ... + T₄₅₅.

3366720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×3366720² = 22669607116800, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 20077 + ... + 20243.

It is an arithmetic number, because the mean of its divisors is an integer number (79248).

Almost surely, 2^3366720 is an apocalyptic number.

3366720 is a gapful number since it is divisible by the number (30) 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 3366720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6656832).

3366720 is an abundant number, since it is smaller than the sum of its proper divisors (9946944).

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

3366720 is a wasteful number, since it uses less digits than its factorization.

3366720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 3366720 is about 1834.8623926606. The cubic root of 3366720 is about 149.8772328823.

It can be divided in two parts, 336 and 6720, that added together give a square (7056 = 84²).

The spelling of 3366720 in words is "three million, three hundred sixty-six thousand, seven hundred twenty".