3360768 has 48 divisors (see below), whose sum is σ = 8976240. Its totient is φ = 1118208.

The previous prime is 3360767. The next prime is 3360769. The reversal of 3360768 is 8670633.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3360767) and next prime (3360769).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3360768² = 22589523099648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3360767) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5871 + ... + 6417.

It is an arithmetic number, because the mean of its divisors is an integer number (187005).

Almost surely, 2^3360768 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 3360768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4488120).

3360768 is an abundant number, since it is smaller than the sum of its proper divisors (5615472).

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

3360768 is an equidigital number, since it uses as much as digits as its factorization.

3360768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 3360768 is about 1833.2397551875. The cubic root of 3360768 is about 149.7888584901.

The spelling of 3360768 in words is "three million, three hundred sixty thousand, seven hundred sixty-eight".