3300880 has 80 divisors (see below), whose sum is σ = 8713728. Its totient is φ = 1161600.

The previous prime is 3300863. The next prime is 3300883. The reversal of 3300880 is 880033.

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 (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3300883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106465 + ... + 106495.

Almost surely, 2^3300880 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 3300880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4356864).

3300880 is an abundant number, since it is smaller than the sum of its proper divisors (5412848).

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

3300880 is a wasteful number, since it uses less digits than its factorization.

3300880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 49 counting only the distinct ones).

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

The square root of 3300880 is about 1816.8324083415. The cubic root of 3300880 is about 148.8937879464.

The spelling of 3300880 in words is "three million, three hundred thousand, eight hundred eighty".