3005217612 has 120 divisors (see below), whose sum is σ = 8294433840. Its totient is φ = 946183680.

The previous prime is 3005217599. The next prime is 3005217613. The reversal of 3005217612 is 2167125003.

It is a happy number.

3005217612 is a `hidden beast` number, since 30 + 0 + 5 + 2 + 17 + 612 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3005217613) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3206808 + ... + 3207744.

It is an arithmetic number, because the mean of its divisors is an integer number (69120282).

Almost surely, 2^3005217612 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 3005217612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4147216920).

3005217612 is an abundant number, since it is smaller than the sum of its proper divisors (5289216228).

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

3005217612 is a wasteful number, since it uses less digits than its factorization.

3005217612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 3005217612 is about 54819.8651220522. The cubic root of 3005217612 is about 1443.0852081202.

The spelling of 3005217612 in words is "three billion, five million, two hundred seventeen thousand, six hundred twelve".