3852608846416 has 80 divisors (see below), whose sum is σ = 8282652019200. Its totient is φ = 1721167817600.

The previous prime is 3852608846363. The next prime is 3852608846417. The reversal of 3852608846416 is 6146488062583.

It is a hoax number, since the sum of its digits (61) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3852608846417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57400365 + ... + 57467443.

It is an arithmetic number, because the mean of its divisors is an integer number (103533150240).

Almost surely, 2^{3852608846416} 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 3852608846416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4141326009600).

3852608846416 is an abundant number, since it is smaller than the sum of its proper divisors (4430043172784).

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

3852608846416 is a wasteful number, since it uses less digits than its factorization.

3852608846416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72688 (or 72682 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 61.

The spelling of 3852608846416 in words is "three trillion, eight hundred fifty-two billion, six hundred eight million, eight hundred forty-six thousand, four hundred sixteen".