3859336827648 has 576 divisors, whose sum is σ = 12368045813760. Its totient is φ = 1183909478400.

The previous prime is 3859336827637. The next prime is 3859336827649. The reversal of 3859336827648 is 8467286339583.

3859336827648 is a `hidden beast` number, since 3 + 8 + 593 + 3 + 6 + 8 + 27 + 6 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (3859336827649) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 475811113 + ... + 475819223.

It is an arithmetic number, because the mean of its divisors is an integer number (21472301760).

Almost surely, 2^{3859336827648} 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 3859336827648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6184022906880).

3859336827648 is an abundant number, since it is smaller than the sum of its proper divisors (8508708986112).

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

3859336827648 is a wasteful number, since it uses less digits than its factorization.

3859336827648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8273 (or 8253 counting only the distinct ones).

The product of its digits is 1254113280, while the sum is 72.

The spelling of 3859336827648 in words is "three trillion, eight hundred fifty-nine billion, three hundred thirty-six million, eight hundred twenty-seven thousand, six hundred forty-eight".