3660768 has 96 divisors (see below), whose sum is σ = 11289600. Its totient is φ = 1150848.

The previous prime is 3660739. The next prime is 3660799. The reversal of 3660768 is 8670663.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 16305 + ... + 16527.

It is an arithmetic number, because the mean of its divisors is an integer number (117600).

Almost surely, 2^3660768 is an apocalyptic number.

3660768 is a gapful number since it is divisible by the number (38) 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 3660768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5644800).

3660768 is an abundant number, since it is smaller than the sum of its proper divisors (7628832).

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

3660768 is a wasteful number, since it uses less digits than its factorization.

3660768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3660768 is about 1913.3133564578. The cubic root of 3660768 is about 154.1194328475.

The spelling of 3660768 in words is "three million, six hundred sixty thousand, seven hundred sixty-eight".