3834120635424 has 36 divisors (see below), whose sum is σ = 10903280557806. Its totient is φ = 1278040211712.

The previous prime is 3834120635419. The next prime is 3834120635441. The reversal of 3834120635424 is 4245360214383.

3834120635424 is a `hidden beast` number, since 3 + 8 + 3 + 4 + 1 + 2 + 0 + 635 + 4 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3143060945424 + 691059690000 = 1772868^2 + 831300^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3834120635424.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6656459149 + ... + 6656459724.

Almost surely, 2^{3834120635424} is an apocalyptic number.

It is an amenable number.

3834120635424 is an abundant number, since it is smaller than the sum of its proper divisors (7069159922382).

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

3834120635424 is a wasteful number, since it uses less digits than its factorization.

3834120635424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13312918889 (or 13312918878 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 3834120635424 in words is "three trillion, eight hundred thirty-four billion, one hundred twenty million, six hundred thirty-five thousand, four hundred twenty-four".