3000475601712 has 480 divisors, whose sum is σ = 9065944742400. Its totient is φ = 924255940608.

The previous prime is 3000475601687. The next prime is 3000475601713. The reversal of 3000475601712 is 2171065740003.

It is a happy number.

3000475601712 is a `hidden beast` number, since 3 + 0 + 0 + 0 + 47 + 5 + 601 + 7 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3000475601713) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2745173838 + ... + 2745174930.

It is an arithmetic number, because the mean of its divisors is an integer number (18887384880).

Almost surely, 2^{3000475601712} 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 3000475601712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4532972371200).

3000475601712 is an abundant number, since it is smaller than the sum of its proper divisors (6065469140688).

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

3000475601712 is a wasteful number, since it uses less digits than its factorization.

3000475601712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 3000475601712 in words is "three trillion, four hundred seventy-five million, six hundred one thousand, seven hundred twelve".