3006073686 has 128 divisors (see below), whose sum is σ = 7677960192. Its totient is φ = 762048000.

The previous prime is 3006073661. The next prime is 3006073691. The reversal of 3006073686 is 6863706003.

It is a happy number.

3006073686 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3706221 + ... + 3707031.

It is an arithmetic number, because the mean of its divisors is an integer number (59984064).

Almost surely, 2^3006073686 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3006073686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3838980096).

3006073686 is an abundant number, since it is smaller than the sum of its proper divisors (4671886506).

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

3006073686 is a wasteful number, since it uses less digits than its factorization.

3006073686 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018.

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 3006073686 is about 54827.6726297953. The cubic root of 3006073686 is about 1443.2222220960. Note that the first 6 decimals are identical.

Adding to 3006073686 its reverse (6863706003), we get a palindrome (9869779689).

The spelling of 3006073686 in words is "three billion, six million, seventy-three thousand, six hundred eighty-six".