3852458891136 has 288 divisors, whose sum is σ = 11467428733800. Its totient is φ = 1241380546560.

The previous prime is 3852458891081. The next prime is 3852458891161. The reversal of 3852458891136 is 6311988542583.

3852458891136 is a `hidden beast` number, since 3 + 8 + 5 + 2 + 4 + 588 + 9 + 11 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 1767992895 + ... + 1767995073.

Almost surely, 2^{3852458891136} is an apocalyptic number.

3852458891136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3852458891136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5733714366900).

3852458891136 is an abundant number, since it is smaller than the sum of its proper divisors (7614969842664).

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

3852458891136 is a wasteful number, since it uses less digits than its factorization.

3852458891136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3858 (or 3812 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 63.

The spelling of 3852458891136 in words is "three trillion, eight hundred fifty-two billion, four hundred fifty-eight million, eight hundred ninety-one thousand, one hundred thirty-six".