3648960 has 168 divisors, whose sum is σ = 14423136. Its totient is φ = 829440.

The previous prime is 3648947. The next prime is 3648989. The reversal of 3648960 is 698463.

3648960 is a `hidden beast` number, since 3 + 648 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 20070 + ... + 20250.

It is an arithmetic number, because the mean of its divisors is an integer number (85852).

Almost surely, 2^3648960 is an apocalyptic number.

3648960 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 3648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7211568).

3648960 is an abundant number, since it is smaller than the sum of its proper divisors (10774176).

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

3648960 is a wasteful number, since it uses less digits than its factorization.

3648960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3648960 is about 1910.2251176236. The cubic root of 3648960 is about 153.9535475795.

The spelling of 3648960 in words is "three million, six hundred forty-eight thousand, nine hundred sixty".