3648680 has 64 divisors (see below), whose sum is σ = 9555840. Its totient is φ = 1228032.

The previous prime is 3648661. The next prime is 3648683. The reversal of 3648680 is 868463.

3648680 is nontrivially palindromic in base 13.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3648680.

It is not an unprimeable number, because it can be changed into a prime (3648683) 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, 23162 + ... + 23318.

It is an arithmetic number, because the mean of its divisors is an integer number (149310).

Almost surely, 2^3648680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3648680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4777920).

3648680 is an abundant number, since it is smaller than the sum of its proper divisors (5907160).

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

3648680 is a wasteful number, since it uses less digits than its factorization.

3648680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 3648680 is about 1910.1518264264. The cubic root of 3648680 is about 153.9496096450.

The spelling of 3648680 in words is "three million, six hundred forty-eight thousand, six hundred eighty".