3006973908 has 96 divisors (see below), whose sum is σ = 8151736320. Its totient is φ = 956751840.

The previous prime is 3006973861. The next prime is 3006973913. The reversal of 3006973908 is 8093796003.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1606213 + ... + 1608083.

It is an arithmetic number, because the mean of its divisors is an integer number (84913920).

Almost surely, 2^3006973908 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 3006973908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4075868160).

3006973908 is an abundant number, since it is smaller than the sum of its proper divisors (5144762412).

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

3006973908 is a wasteful number, since it uses less digits than its factorization.

3006973908 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2554 (or 2546 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 3006973908 is about 54835.8815740205. The cubic root of 3006973908 is about 1443.3662738682.

The spelling of 3006973908 in words is "three billion, six million, nine hundred seventy-three thousand, nine hundred eight".