3648840 has 64 divisors (see below), whose sum is σ = 11793600. Its totient is φ = 897792.

The previous prime is 3648833. The next prime is 3648847. The reversal of 3648840 is 488463.

It is an interprime number because it is at equal distance from previous prime (3648833) and next prime (3648847).

It is not an unprimeable number, because it can be changed into a prime (3648847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 391 + ... + 2729.

It is an arithmetic number, because the mean of its divisors is an integer number (184275).

Almost surely, 2^3648840 is an apocalyptic number.

3648840 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 3648840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5896800).

3648840 is an abundant number, since it is smaller than the sum of its proper divisors (8144760).

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

3648840 is a wasteful number, since it uses less digits than its factorization.

3648840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2366 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 3648840 is about 1910.1937074548. The cubic root of 3648840 is about 153.9518599179.

The spelling of 3648840 in words is "three million, six hundred forty-eight thousand, eight hundred forty".