3863333859840 has 2160 divisors, whose sum is σ = 17414897828328. Its totient is φ = 784498950144.

The previous prime is 3863333859739. The next prime is 3863333859841. The reversal of 3863333859840 is 489583333683.

3863333859840 is a `hidden beast` number, since 3 + 8 + 6 + 3 + 3 + 3 + 38 + 598 + 4 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 155336880384 + 3707996979456 = 394128^2 + 1925616^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3863333859841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 12342919524 + ... + 12342919836.

Almost surely, 2^{3863333859840} is an apocalyptic number.

3863333859840 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 3863333859840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8707448914164).

3863333859840 is an abundant number, since it is smaller than the sum of its proper divisors (13551563968488).

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

3863333859840 is a wasteful number, since it uses less digits than its factorization.

3863333859840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 63.

The spelling of 3863333859840 in words is "three trillion, eight hundred sixty-three billion, three hundred thirty-three million, eight hundred fifty-nine thousand, eight hundred forty".