3952586481816 has 512 divisors, whose sum is σ = 12466844467200. Its totient is φ = 1018967040000.

The previous prime is 3952586481799. The next prime is 3952586481859. The reversal of 3952586481816 is 6181846852593.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1688416806 + ... + 1688419146.

It is an arithmetic number, because the mean of its divisors is an integer number (24349305600).

Almost surely, 2^{3952586481816} 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 3952586481816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6233422233600).

3952586481816 is an abundant number, since it is smaller than the sum of its proper divisors (8514257985384).

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

3952586481816 is a wasteful number, since it uses less digits than its factorization.

3952586481816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2671 (or 2667 counting only the distinct ones).

The product of its digits is 99532800, while the sum is 66.

The spelling of 3952586481816 in words is "three trillion, nine hundred fifty-two billion, five hundred eighty-six million, four hundred eighty-one thousand, eight hundred sixteen".