3477984105 has 48 divisors (see below), whose sum is σ = 5911925184. Its totient is φ = 1745677440.

The previous prime is 3477984089. The next prime is 3477984157. The reversal of 3477984105 is 5014897743.

It is a happy number.

It is not a de Polignac number, because 3477984105 - 2⁴ = 3477984089 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 848110 + ... + 852200.

It is an arithmetic number, because the mean of its divisors is an integer number (123165108).

Almost surely, 2^3477984105 is an apocalyptic number.

It is an amenable number.

3477984105 is a deficient number, since it is larger than the sum of its proper divisors (2433941079).

3477984105 is a wasteful number, since it uses less digits than its factorization.

3477984105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4294 (or 4275 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 3477984105 is about 58974.4360295205. The cubic root of 3477984105 is about 1515.1043006757.

The spelling of 3477984105 in words is "three billion, four hundred seventy-seven million, nine hundred eighty-four thousand, one hundred five".