3644520 has 96 divisors (see below), whose sum is σ = 12065760. Its totient is φ = 880000.

The previous prime is 3644513. The next prime is 3644569. The reversal of 3644520 is 254463.

3644520 = 110² + 111² + ... + 230².

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14395 + ... + 14645.

It is an arithmetic number, because the mean of its divisors is an integer number (125685).

Almost surely, 2^3644520 is an apocalyptic number.

3644520 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 3644520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6032880).

3644520 is an abundant number, since it is smaller than the sum of its proper divisors (8421240).

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

3644520 is a wasteful number, since it uses less digits than its factorization.

3644520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 3644520 is about 1909.0625971927. The cubic root of 3644520 is about 153.8910794438.

Adding to 3644520 its reverse (254463), we get a palindrome (3898983).

It can be divided in two parts, 364 and 4520, that added together give a palindrome (4884).

The spelling of 3644520 in words is "three million, six hundred forty-four thousand, five hundred twenty".