3005010 has 48 divisors (see below), whose sum is σ = 7898904. Its totient is φ = 792576.

The previous prime is 3004993. The next prime is 3005011. The reversal of 3005010 is 105003.

It can be written as a sum of positive squares in 4 ways, for example, as 2634129 + 370881 = 1623^2 + 609^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 3004983 and 3005001.

It is not an unprimeable number, because it can be changed into a prime (3005011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15474 + ... + 15666.

Almost surely, 2^3005010 is an apocalyptic number.

3005010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3005010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3949452).

3005010 is an abundant number, since it is smaller than the sum of its proper divisors (4893894).

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

3005010 is a wasteful number, since it uses less digits than its factorization.

3005010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 9.

The square root of 3005010 is about 1733.4964666823. The cubic root of 3005010 is about 144.3051976061.

The spelling of 3005010 in words is "three million, five thousand, ten".