3322080 has 96 divisors (see below), whose sum is σ = 11642400. Its totient is φ = 884736.

The previous prime is 3322073. The next prime is 3322091. The reversal of 3322080 is 802233.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3322080² = 22072431052800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3936 + ... + 4704.

It is an arithmetic number, because the mean of its divisors is an integer number (121275).

Almost surely, 2^3322080 is an apocalyptic number.

3322080 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 3322080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5821200).

3322080 is an abundant number, since it is smaller than the sum of its proper divisors (8320320).

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

3322080 is a wasteful number, since it uses less digits than its factorization.

3322080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3322080 is about 1822.6574006104. The cubic root of 3322080 is about 149.2118662203.

The spelling of 3322080 in words is "three million, three hundred twenty-two thousand, eighty".