3836000418075 has 72 divisors (see below), whose sum is σ = 8064454575008. Its totient is φ = 1706205565440.

The previous prime is 3836000418073. The next prime is 3836000418091. The reversal of 3836000418075 is 5708140006383.

3836000418075 is a `hidden beast` number, since 38 + 3 + 600 + 0 + 4 + 1 + 8 + 0 + 7 + 5 = 666.

It is not a de Polignac number, because 3836000418075 - 2¹ = 3836000418073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3836000418075.

It is not an unprimeable number, because it can be changed into a prime (3836000418073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32854642 + ... + 32971191.

Almost surely, 2^{3836000418075} is an apocalyptic number.

3836000418075 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3836000418075 is an abundant number, since it is smaller than the sum of its proper divisors (4228454156933).

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

3836000418075 is a wasteful number, since it uses less digits than its factorization.

3836000418075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65825893 (or 65825885 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 3836000418075 in words is "three trillion, eight hundred thirty-six billion, four hundred eighteen thousand, seventy-five".