3300080 has 80 divisors (see below), whose sum is σ = 8999424. Its totient is φ = 1102080.

The previous prime is 3300071. The next prime is 3300097. The reversal of 3300080 is 800033.

It is a happy number.

3300080 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 Harshad number since it is a multiple of its sum of digits (14).

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 15 ways as a sum of consecutive naturals, for example, 39719 + ... + 39801.

Almost surely, 2^3300080 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 3300080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4499712).

3300080 is an abundant number, since it is smaller than the sum of its proper divisors (5699344).

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

3300080 is a wasteful number, since it uses less digits than its factorization.

3300080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 3300080 is about 1816.6122316003. The cubic root of 3300080 is about 148.8817583609.

The spelling of 3300080 in words is "three million, three hundred thousand, eighty".