3865320 has 80 divisors (see below), whose sum is σ = 13002660. Its totient is φ = 1029888.

The previous prime is 3865289. The next prime is 3865321. The reversal of 3865320 is 235683.

3865320 = T₂₇₀ + T₂₇₁ + ... + T₃₄₉.

3865320 is a `hidden beast` number, since 3 + 8 + 653 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3849444 + 15876 = 1962^2 + 126^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (3865321) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2644 + ... + 3836.

Almost surely, 2^3865320 is an apocalyptic number.

3865320 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 3865320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6501330).

3865320 is an abundant number, since it is smaller than the sum of its proper divisors (9137340).

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

3865320 is a wasteful number, since it uses less digits than its factorization.

3865320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3865320 is about 1966.0417086115. The cubic root of 3865320 is about 156.9381340356.

The spelling of 3865320 in words is "three million, eight hundred sixty-five thousand, three hundred twenty".