3868560 has 120 divisors (see below), whose sum is σ = 13540800. Its totient is φ = 1026432.

The previous prime is 3868549. The next prime is 3868567. The reversal of 3868560 is 658683.

3868560 is a `hidden beast` number, since 38 + 68 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3868567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19341 + ... + 19539.

It is an arithmetic number, because the mean of its divisors is an integer number (112840).

Almost surely, 2^3868560 is an apocalyptic number.

3868560 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 3868560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6770400).

3868560 is an abundant number, since it is smaller than the sum of its proper divisors (9672240).

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

3868560 is a wasteful number, since it uses less digits than its factorization.

3868560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3868560 is about 1966.8655266693. The cubic root of 3868560 is about 156.9819715055.

The spelling of 3868560 in words is "three million, eight hundred sixty-eight thousand, five hundred sixty".