3076320 has 192 divisors, whose sum is σ = 11430720. Its totient is φ = 688128.

The previous prime is 3076313. The next prime is 3076327. The reversal of 3076320 is 236703.

3076320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3076313) and next prime (3076327).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3076327) 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 31 ways as a sum of consecutive naturals, for example, 106066 + ... + 106094.

It is an arithmetic number, because the mean of its divisors is an integer number (59535).

Almost surely, 2^3076320 is an apocalyptic number.

3076320 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 3076320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5715360).

3076320 is an abundant number, since it is smaller than the sum of its proper divisors (8354400).

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

3076320 is a wasteful number, since it uses less digits than its factorization.

3076320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 21.

The square root of 3076320 is about 1753.9441268182. The cubic root of 3076320 is about 145.4377575322.

The spelling of 3076320 in words is "three million, seventy-six thousand, three hundred twenty".