3006345342972 has 48 divisors (see below), whose sum is σ = 7077414183840. Its totient is φ = 993172389888.

The previous prime is 3006345342937. The next prime is 3006345342977. The reversal of 3006345342972 is 2792435436003.

It is a super-2 number, since 2×3006345342972² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3006345342977) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19761148 + ... + 19912700.

It is an arithmetic number, because the mean of its divisors is an integer number (147446128830).

Almost surely, 2^{3006345342972} is an apocalyptic number.

It is an amenable number.

3006345342972 is an abundant number, since it is smaller than the sum of its proper divisors (4071068840868).

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

3006345342972 is a wasteful number, since it uses less digits than its factorization.

3006345342972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166302 (or 166300 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 48.

The spelling of 3006345342972 in words is "three trillion, six billion, three hundred forty-five million, three hundred forty-two thousand, nine hundred seventy-two".