3484105827876 has 60 divisors (see below), whose sum is σ = 9110560639180. Its totient is φ = 1161060065280.

The previous prime is 3484105827847. The next prime is 3484105827941. The reversal of 3484105827876 is 6787285014843.

It is a happy number.

3484105827876 is a `hidden beast` number, since 3 + 4 + 8 + 41 + 0 + 582 + 7 + 8 + 7 + 6 = 666.

3484105827876 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 2 ways, for example, as 3310361913600 + 173743914276 = 1819440^2 + 416826^2 .

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 205405 + ... + 2647716.

Almost surely, 2^{3484105827876} is an apocalyptic number.

3484105827876 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3484105827876 is an abundant number, since it is smaller than the sum of its proper divisors (5626454811304).

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

3484105827876 is a wasteful number, since it uses less digits than its factorization.

3484105827876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2856906 (or 2856895 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 3484105827876 in words is "three trillion, four hundred eighty-four billion, one hundred five million, eight hundred twenty-seven thousand, eight hundred seventy-six".