3165420927816 has 384 divisors, whose sum is σ = 11215230624000. Its totient is φ = 784609099776.

The previous prime is 3165420927763. The next prime is 3165420927827. The reversal of 3165420927816 is 6187290245613.

It is a happy number.

3165420927816 is a `hidden beast` number, since 3 + 1 + 6 + 542 + 0 + 92 + 7 + 8 + 1 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5760540 + ... + 6286068.

It is an arithmetic number, because the mean of its divisors is an integer number (29206329750).

It is a 1-persistent number, because it is pandigital, but 2⋅3165420927816 = 6330841855632 is not.

Almost surely, 2^{3165420927816} is an apocalyptic number.

3165420927816 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 3165420927816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5607615312000).

3165420927816 is an abundant number, since it is smaller than the sum of its proper divisors (8049809696184).

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

3165420927816 is a wasteful number, since it uses less digits than its factorization.

3165420927816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525621 (or 525614 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 3165420927816 in words is "three trillion, one hundred sixty-five billion, four hundred twenty million, nine hundred twenty-seven thousand, eight hundred sixteen".