3427481572817 has 16 divisors (see below), whose sum is σ = 3470578395984. Its totient is φ = 3384576000000.

The previous prime is 3427481572799. The next prime is 3427481572877. The reversal of 3427481572817 is 7182751847243.

3427481572817 is digitally balanced in base 3, 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 8 ways, for example, as 14092301521 + 3413389271296 = 118711^2 + 1847536^2 .

It is a cyclic number.

It is not a de Polignac number, because 3427481572817 - 2²² = 3427477378513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3427481572877) 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, 60634067 + ... + 60690567.

It is an arithmetic number, because the mean of its divisors is an integer number (216911149749).

Almost surely, 2^{3427481572817} is an apocalyptic number.

It is an amenable number.

3427481572817 is a deficient number, since it is larger than the sum of its proper divisors (43096823167).

3427481572817 is a wasteful number, since it uses less digits than its factorization.

3427481572817 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58180.

The product of its digits is 21073920, while the sum is 59.

The spelling of 3427481572817 in words is "three trillion, four hundred twenty-seven billion, four hundred eighty-one million, five hundred seventy-two thousand, eight hundred seventeen".