3364480 has 64 divisors (see below), whose sum is σ = 9204480. Its totient is φ = 1152000.

The previous prime is 3364469. The next prime is 3364489. The reversal of 3364480 is 844633.

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

It is a super-2 number, since 2×3364480² = 22639451340800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (3364489) 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, 4105 + ... + 4855.

It is an arithmetic number, because the mean of its divisors is an integer number (143820).

Almost surely, 2^3364480 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 3364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4602240).

3364480 is an abundant number, since it is smaller than the sum of its proper divisors (5840000).

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

3364480 is an equidigital number, since it uses as much as digits as its factorization.

3364480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 3364480 is about 1834.2518910989. The cubic root of 3364480 is about 149.8439859352.

It can be divided in two parts, 3364 and 480, that added together give a square (3844 = 62²).

The spelling of 3364480 in words is "three million, three hundred sixty-four thousand, four hundred eighty".