3836222083008 has 252 divisors, whose sum is σ = 13032422952120. Its totient is φ = 1075382590464.

The previous prime is 3836222082991. The next prime is 3836222083019. The reversal of 3836222083008 is 8003802226383.

3836222083008 is a `hidden beast` number, since 3 + 83 + 62 + 2 + 208 + 300 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 213603 + ... + 2778141.

Almost surely, 2^{3836222083008} 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 3836222083008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6516211476060).

3836222083008 is an abundant number, since it is smaller than the sum of its proper divisors (9196200869112).

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

3836222083008 is a wasteful number, since it uses less digits than its factorization.

3836222083008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2564624 (or 2564604 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 3836222083008 in words is "three trillion, eight hundred thirty-six billion, two hundred twenty-two million, eighty-three thousand, eight".