3008645904 has 160 divisors (see below), whose sum is σ = 8707121280. Its totient is φ = 887500800.

The previous prime is 3008645897. The next prime is 3008645909. The reversal of 3008645904 is 4095468003.

It is a super-4 number, since 4×3008645904⁴ (a number of 39 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (3008645909) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3510244 + ... + 3511100.

It is an arithmetic number, because the mean of its divisors is an integer number (54419508).

Almost surely, 2^3008645904 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 3008645904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4353560640).

3008645904 is an abundant number, since it is smaller than the sum of its proper divisors (5698475376).

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

3008645904 is a wasteful number, since it uses less digits than its factorization.

3008645904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 3008645904 is about 54851.1249109806. The cubic root of 3008645904 is about 1443.6337471432.

The spelling of 3008645904 in words is "three billion, eight million, six hundred forty-five thousand, nine hundred four".