3082320 has 80 divisors (see below), whose sum is σ = 10624320. Its totient is φ = 821376.

The previous prime is 3082309. The next prime is 3082327. The reversal of 3082320 is 232803.

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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 3082293 and 3082302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3082327) 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, 1447 + ... + 2873.

It is an arithmetic number, because the mean of its divisors is an integer number (132804).

Almost surely, 2^3082320 is an apocalyptic number.

3082320 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 3082320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5312160).

3082320 is an abundant number, since it is smaller than the sum of its proper divisors (7542000).

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

3082320 is a wasteful number, since it uses less digits than its factorization.

3082320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1449 (or 1437 counting only the distinct ones).

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

The square root of 3082320 is about 1755.6537244001. The cubic root of 3082320 is about 145.5322492019.

It can be divided in two parts, 308 and 2320, that added together give a triangular number (2628 = T₇₂).

The spelling of 3082320 in words is "three million, eighty-two thousand, three hundred twenty".