3869436663360 has 504 divisors, whose sum is σ = 13709553287976. Its totient is φ = 1001698099200.

The previous prime is 3869436663359. The next prime is 3869436663371. The reversal of 3869436663360 is 633666349683.

It can be written as a sum of positive squares in 12 ways, for example, as 95883264 + 3869340780096 = 9792^2 + 1967064^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2416886560 + ... + 2416888160.

It is an arithmetic number, because the mean of its divisors is an integer number (27201494619).

Almost surely, 2^{3869436663360} is an apocalyptic number.

3869436663360 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 3869436663360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6854776643988).

3869436663360 is an abundant number, since it is smaller than the sum of its proper divisors (9840116624616).

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

3869436663360 is a wasteful number, since it uses less digits than its factorization.

3869436663360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311 (or 2261 counting only the distinct ones).

The product of its (nonzero) digits is 181398528, while the sum is 63.

The spelling of 3869436663360 in words is "three trillion, eight hundred sixty-nine billion, four hundred thirty-six million, six hundred sixty-three thousand, three hundred sixty".