3868947360 has 144 divisors (see below), whose sum is σ = 13510040544. Its totient is φ = 1007709696.

The previous prime is 3868947359. The next prime is 3868947421. The reversal of 3868947360 is 637498683.

3868947360 is a `hidden beast` number, since 38 + 6 + 89 + 473 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 3868947297 and 3868947306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30679 + ... + 93161.

It is an arithmetic number, because the mean of its divisors is an integer number (93819726).

Almost surely, 2^3868947360 is an apocalyptic number.

3868947360 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 3868947360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6755020272).

3868947360 is an abundant number, since it is smaller than the sum of its proper divisors (9641093184).

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

3868947360 is a wasteful number, since it uses less digits than its factorization.

3868947360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62547 (or 62536 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 3868947360 is about 62200.8630165209. The cubic root of 3868947360 is about 1569.8721088029.

The spelling of 3868947360 in words is "three billion, eight hundred sixty-eight million, nine hundred forty-seven thousand, three hundred sixty".