3079680 has 80 divisors (see below), whose sum is σ = 9869904. Its totient is φ = 819200.

The previous prime is 3079649. The next prime is 3079697. The reversal of 3079680 is 869703.

It is a happy number.

3079680 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 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 7 ways as a sum of consecutive naturals, for example, 7480 + ... + 7880.

Almost surely, 2^3079680 is an apocalyptic number.

3079680 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 3079680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4934952).

3079680 is an abundant number, since it is smaller than the sum of its proper divisors (6790224).

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

3079680 is an equidigital number, since it uses as much as digits as its factorization.

3079680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 3079680 is about 1754.9017066491. The cubic root of 3079680 is about 145.4906879883.

It can be divided in two parts, 30796 and 80, that added together give a triangular number (30876 = T₂₄₈).

The spelling of 3079680 in words is "three million, seventy-nine thousand, six hundred eighty".