3864240 has 80 divisors (see below), whose sum is σ = 13317600. Its totient is φ = 1029888.

The previous prime is 3864233. The next prime is 3864247. The reversal of 3864240 is 424683.

It is an interprime number because it is at equal distance from previous prime (3864233) and next prime (3864247).

It is a tau number, because it is divible by the number of its divisors (80).

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3864247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1266 + ... + 3054.

It is an arithmetic number, because the mean of its divisors is an integer number (166470).

Almost surely, 2^3864240 is an apocalyptic number.

3864240 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 3864240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6658800).

3864240 is an abundant number, since it is smaller than the sum of its proper divisors (9453360).

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

3864240 is a wasteful number, since it uses less digits than its factorization.

3864240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3864240 is about 1965.7670258706. The cubic root of 3864240 is about 156.9235161020.

The spelling of 3864240 in words is "three million, eight hundred sixty-four thousand, two hundred forty".