3836535819264 has 1056 divisors, whose sum is σ = 12572892783360. Its totient is φ = 1164533760000.

The previous prime is 3836535819241. The next prime is 3836535819271. The reversal of 3836535819264 is 4629185356383.

It is a happy number.

3836535819264 is a `hidden beast` number, since 3 + 8 + 3 + 6 + 5 + 358 + 19 + 264 = 666.

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 95 ways as a sum of consecutive naturals, for example, 15285003139 + ... + 15285003389.

Almost surely, 2^{3836535819264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3836535819264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6286446391680).

3836535819264 is an abundant number, since it is smaller than the sum of its proper divisors (8736356964096).

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

3836535819264 is a wasteful number, since it uses less digits than its factorization.

3836535819264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 389 counting only the distinct ones).

The product of its digits is 111974400, while the sum is 63.

The spelling of 3836535819264 in words is "three trillion, eight hundred thirty-six billion, five hundred thirty-five million, eight hundred nineteen thousand, two hundred sixty-four".