3461230600506 has 144 divisors (see below), whose sum is σ = 8874425762280. Its totient is φ = 971981337600.

The previous prime is 3461230600469. The next prime is 3461230600559. The reversal of 3461230600506 is 6050060321643.

3461230600506 is a `hidden beast` number, since 3 + 4 + 6 + 12 + 30 + 600 + 5 + 0 + 6 = 666.

3461230600506 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3301274597481 + 159956003025 = 1816941^2 + 399945^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12062430 + ... + 12346038.

Almost surely, 2^{3461230600506} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3461230600506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4437212881140).

3461230600506 is an abundant number, since it is smaller than the sum of its proper divisors (5413195161774).

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

3461230600506 is a wasteful number, since it uses less digits than its factorization.

3461230600506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283869 (or 283859 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 3461230600506 in words is "three trillion, four hundred sixty-one billion, two hundred thirty million, six hundred thousand, five hundred six".