3856786839360 has 2688 divisors, whose sum is σ = 18364548593664. Its totient is φ = 719396536320.

The previous prime is 3856786839319. The next prime is 3856786839403. The reversal of 3856786839360 is 639386876583.

3856786839360 is a `hidden beast` number, since 3 + 8 + 56 + 78 + 68 + 393 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6250869772 + ... + 6250870388.

It is an arithmetic number, because the mean of its divisors is an integer number (6832049328).

Almost surely, 2^{3856786839360} is an apocalyptic number.

3856786839360 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 3856786839360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9182274296832).

3856786839360 is an abundant number, since it is smaller than the sum of its proper divisors (14507761754304).

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

3856786839360 is a wasteful number, since it uses less digits than its factorization.

3856786839360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 3856786839360 in words is "three trillion, eight hundred fifty-six billion, seven hundred eighty-six million, eight hundred thirty-nine thousand, three hundred sixty".