3005606604 has 432 divisors, whose sum is σ = 10148585216. Its totient is φ = 673263360.

The previous prime is 3005606551. The next prime is 3005606663. The reversal of 3005606604 is 4066065003.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 69897807 + ... + 69897849.

Almost surely, 2^3005606604 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 3005606604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5074292608).

3005606604 is an abundant number, since it is smaller than the sum of its proper divisors (7142978612).

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

3005606604 is a wasteful number, since it uses less digits than its factorization.

3005606604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 3005606604 is about 54823.4129182049. The cubic root of 3005606604 is about 1443.1474692113.

The spelling of 3005606604 in words is "three billion, five million, six hundred six thousand, six hundred four".