3073008 has 40 divisors (see below), whose sum is σ = 8056528. Its totient is φ = 1009152.

The previous prime is 3072983. The next prime is 3073013. The reversal of 3073008 is 8003703.

It is a Cunningham number, because it is equal to 1753²-1.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3066 + ... + 3942.

Almost surely, 2^3073008 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 3073008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4028264).

3073008 is an abundant number, since it is smaller than the sum of its proper divisors (4983520).

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

3073008 is a wasteful number, since it uses less digits than its factorization.

3073008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 3073008 is about 1752.9997147746. Note that the first 3 decimals coincide. The cubic root of 3073008 is about 145.3855454930.

The spelling of 3073008 in words is "three million, seventy-three thousand, eight".