3364640 has 48 divisors (see below), whose sum is σ = 8423352. Its totient is φ = 1265664.

The previous prime is 3364637. The next prime is 3364649. The reversal of 3364640 is 464633.

It can be written as a sum of positive squares in 4 ways, for example, as 3254416 + 110224 = 1804^2 + 332^2 .

It is a super-2 number, since 2×3364640² = 22641604659200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3364649) 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, 2102 + ... + 3338.

Almost surely, 2^3364640 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 3364640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4211676).

3364640 is an abundant number, since it is smaller than the sum of its proper divisors (5058712).

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

3364640 is a wasteful number, since it uses less digits than its factorization.

3364640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The square root of 3364640 is about 1834.2955050918. The cubic root of 3364640 is about 149.8463612064.

It can be divided in two parts, 3364 and 640, that added together give a palindrome (4004).

The spelling of 3364640 in words is "three million, three hundred sixty-four thousand, six hundred forty".