3816088436160 has 1512 divisors, whose sum is σ = 18075039641568. Its totient is φ = 731914444800.

The previous prime is 3816088436159. The next prime is 3816088436191. The reversal of 3816088436160 is 616348806183.

3816088436160 is a `hidden beast` number, since 3 + 8 + 16 + 0 + 8 + 8 + 4 + 3 + 616 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3816088436097 and 3816088436106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 221973165 + ... + 221990355.

Almost surely, 2^{3816088436160} is an apocalyptic number.

3816088436160 is a gapful number since it is divisible by the number (30) 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 3816088436160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9037519820784).

3816088436160 is an abundant number, since it is smaller than the sum of its proper divisors (14258951205408).

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

3816088436160 is a wasteful number, since it uses less digits than its factorization.

3816088436160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17263 (or 17232 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 3816088436160 in words is "three trillion, eight hundred sixteen billion, eighty-eight million, four hundred thirty-six thousand, one hundred sixty".