3644760 has 64 divisors (see below), whose sum is σ = 12499200. Its totient is φ = 832896.

The previous prime is 3644747. The next prime is 3644761. The reversal of 3644760 is 674463.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a d-powerful number, because it can be written as 3⁸ + 6⁸ + 4² + 4⁹ + 7⁵ + 6⁸ + 0 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3644761) 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, 1330 + ... + 3009.

It is an arithmetic number, because the mean of its divisors is an integer number (195300).

Almost surely, 2^3644760 is an apocalyptic number.

3644760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3644760 is an abundant number, since it is smaller than the sum of its proper divisors (8854440).

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

3644760 is a wasteful number, since it uses less digits than its factorization.

3644760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4360 (or 4356 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 3644760 is about 1909.1254542329. The cubic root of 3644760 is about 153.8944573965.

The spelling of 3644760 in words is "three million, six hundred forty-four thousand, seven hundred sixty".