3007680 has 112 divisors (see below), whose sum is σ = 10326624. Its totient is φ = 737280.

The previous prime is 3007661. The next prime is 3007709. The reversal of 3007680 is 867003.

It is a super-2 number, since 2×3007680² = 18092277964800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3007680.

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, 12360 + ... + 12600.

It is an arithmetic number, because the mean of its divisors is an integer number (92202).

Almost surely, 2^3007680 is an apocalyptic number.

3007680 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 3007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5163312).

3007680 is an abundant number, since it is smaller than the sum of its proper divisors (7318944).

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

3007680 is a wasteful number, since it uses less digits than its factorization.

3007680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 3007680 is about 1734.2664155198. The cubic root of 3007680 is about 144.3479241218.

The spelling of 3007680 in words is "three million, seven thousand, six hundred eighty".