3380080 has 80 divisors (see below), whose sum is σ = 8999424. Its totient is φ = 1168640.

The previous prime is 3380033. The next prime is 3380089. The reversal of 3380080 is 800833.

3380080 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 (80).

It is a super-2 number, since 2×3380080² = 22849881612800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3380089) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 20157 + ... + 20323.

Almost surely, 2^3380080 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 3380080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4499712).

3380080 is an abundant number, since it is smaller than the sum of its proper divisors (5619344).

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

3380080 is a wasteful number, since it uses less digits than its factorization.

3380080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 3380080 is about 1838.4993880880. The cubic root of 3380080 is about 150.0752215311.

It can be divided in two parts, 3 and 380080, that added together give a palindrome (380083).

The spelling of 3380080 in words is "three million, three hundred eighty thousand, eighty".