3859818697728 has 880 divisors, whose sum is σ = 14058951899520. Its totient is φ = 1030236143616.

The previous prime is 3859818697703. The next prime is 3859818697729. The reversal of 3859818697728 is 8277968189583.

3859818697728 is a `hidden beast` number, since 3 + 8 + 598 + 18 + 6 + 9 + 7 + 7 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3859818697729) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 805300900 + ... + 805305692.

It is an arithmetic number, because the mean of its divisors is an integer number (15976081704).

Almost surely, 2^{3859818697728} is an apocalyptic number.

3859818697728 is a gapful number since it is divisible by the number (38) 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 3859818697728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7029475949760).

3859818697728 is an abundant number, since it is smaller than the sum of its proper divisors (10199133201792).

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

3859818697728 is a wasteful number, since it uses less digits than its factorization.

3859818697728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4924 (or 4897 counting only the distinct ones).

The product of its digits is 2926264320, while the sum is 81.

The spelling of 3859818697728 in words is "three trillion, eight hundred fifty-nine billion, eight hundred eighteen million, six hundred ninety-seven thousand, seven hundred twenty-eight".