3640320 has 132 divisors (see below), whose sum is σ = 12773280. Its totient is φ = 958464.

The previous prime is 3640309. The next prime is 3640327. The reversal of 3640320 is 230463.

3640320 is a `hidden beast` number, since 3 + 640 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3640293 and 3640302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3640327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46041 + ... + 46119.

Almost surely, 2^3640320 is an apocalyptic number.

3640320 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 3640320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6386640).

3640320 is an abundant number, since it is smaller than the sum of its proper divisors (9132960).

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

3640320 is a wasteful number, since it uses less digits than its factorization.

3640320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3640320 is about 1907.9622637778. The cubic root of 3640320 is about 153.8319412512.

Adding to 3640320 its reverse (230463), we get a palindrome (3870783).

The spelling of 3640320 in words is "three million, six hundred forty thousand, three hundred twenty".