3345920 has 40 divisors (see below), whose sum is σ = 8028504. Its totient is φ = 1337344.

The previous prime is 3345917. The next prime is 3345929. The reversal of 3345920 is 295433.

3345920 is digitally balanced in base 5, 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 (40).

It is a super-2 number, since 2×3345920² = 22390361292800, which contains 22 as substring.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 3345920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3345929) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1907 + ... + 3213.

Almost surely, 2^3345920 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 3345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4014252).

3345920 is an abundant number, since it is smaller than the sum of its proper divisors (4682584).

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

3345920 is an equidigital number, since it uses as much as digits as its factorization.

3345920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 3345920 is about 1829.1856111396. The cubic root of 3345920 is about 149.5679418853.

The spelling of 3345920 in words is "three million, three hundred forty-five thousand, nine hundred twenty".