3336320 has 64 divisors (see below), whose sum is σ = 8610840. Its totient is φ = 1228800.

The previous prime is 3336317. The next prime is 3336323. The reversal of 3336320 is 236333.

It is an interprime number because it is at equal distance from previous prime (3336317) and next prime (3336323).

It can be written as a sum of positive squares in 4 ways, for example, as 3013696 + 322624 = 1736^2 + 568^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3336320² = 22262062284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3336292 and 3336301.

It is not an unprimeable number, because it can be changed into a prime (3336323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8120 + ... + 8520.

Almost surely, 2^3336320 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 3336320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4305420).

3336320 is an abundant number, since it is smaller than the sum of its proper divisors (5274520).

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

3336320 is a wasteful number, since it uses less digits than its factorization.

3336320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

The square root of 3336320 is about 1826.5596075683. The cubic root of 3336320 is about 149.4247597741.

The spelling of 3336320 in words is "three million, three hundred thirty-six thousand, three hundred twenty".