3005225370 has 192 divisors, whose sum is σ = 9254419200. Its totient is φ = 676190592.

The previous prime is 3005225351. The next prime is 3005225401. The reversal of 3005225370 is 735225003.

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 95 ways as a sum of consecutive naturals, for example, 2067564 + ... + 2069016.

It is an arithmetic number, because the mean of its divisors is an integer number (48200100).

Almost surely, 2^3005225370 is an apocalyptic number.

3005225370 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3005225370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4627209600).

3005225370 is an abundant number, since it is smaller than the sum of its proper divisors (6249193830).

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

3005225370 is a wasteful number, since it uses less digits than its factorization.

3005225370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 3005225370 is about 54819.9358810278. The cubic root of 3005225370 is about 1443.0864498988.

The spelling of 3005225370 in words is "three billion, five million, two hundred twenty-five thousand, three hundred seventy".