3006380 has 48 divisors (see below), whose sum is σ = 7037184. Its totient is φ = 1071360.

The previous prime is 3006371. The next prime is 3006383. The reversal of 3006380 is 836003.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (3006383) 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, 7874 + ... + 8246.

It is an arithmetic number, because the mean of its divisors is an integer number (146608).

Almost surely, 2^3006380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3006380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3518592).

3006380 is an abundant number, since it is smaller than the sum of its proper divisors (4030804).

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

3006380 is a wasteful number, since it uses less digits than its factorization.

3006380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 3006380 is about 1733.8915767717. The cubic root of 3006380 is about 144.3271241094.

The spelling of 3006380 in words is "three million, six thousand, three hundred eighty".