3865408560 has 240 divisors, whose sum is σ = 14418496800. Its totient is φ = 951395328.

The previous prime is 3865408559. The next prime is 3865408577. The reversal of 3865408560 is 658045683.

3865408560 is a `hidden beast` number, since 3 + 86 + 5 + 4 + 0 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 359746 + ... + 370334.

It is an arithmetic number, because the mean of its divisors is an integer number (60077070).

Almost surely, 2^3865408560 is an apocalyptic number.

3865408560 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 3865408560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7209248400).

3865408560 is an abundant number, since it is smaller than the sum of its proper divisors (10553088240).

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

3865408560 is a wasteful number, since it uses less digits than its factorization.

3865408560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10637 (or 10612 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 3865408560 is about 62172.4099581157. The cubic root of 3865408560 is about 1569.3933258538.

The spelling of 3865408560 in words is "three billion, eight hundred sixty-five million, four hundred eight thousand, five hundred sixty".