3427966048105 has 8 divisors (see below), whose sum is σ = 4113592047432. Its totient is φ = 2742350978688.

The previous prime is 3427966048099. The next prime is 3427966048127. The reversal of 3427966048105 is 5018406697243.

It can be written as a sum of positive squares in 4 ways, for example, as 2169057363984 + 1258908684121 = 1472772^2 + 1122011^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3427966048105 - 2¹⁵ = 3427966015337 is a prime.

It is a super-2 number, since 2×3427966048105² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2025874 + ... + 3310603.

It is an arithmetic number, because the mean of its divisors is an integer number (514199005929).

It is a 1-persistent number, because it is pandigital, but 2⋅3427966048105 = 6855932096210 is not.

Almost surely, 2^{3427966048105} is an apocalyptic number.

It is an amenable number.

3427966048105 is a deficient number, since it is larger than the sum of its proper divisors (685625999327).

3427966048105 is a wasteful number, since it uses less digits than its factorization.

3427966048105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5464955.

The product of its (nonzero) digits is 8709120, while the sum is 55.

The spelling of 3427966048105 in words is "three trillion, four hundred twenty-seven billion, nine hundred sixty-six million, forty-eight thousand, one hundred five".