3396480 has 128 divisors (see below), whose sum is σ = 11383200. Its totient is φ = 860160.

The previous prime is 3396473. The next prime is 3396487. The reversal of 3396480 is 846933.

It is an interprime number because it is at equal distance from previous prime (3396473) and next prime (3396487).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3396487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55650 + ... + 55710.

Almost surely, 2^3396480 is an apocalyptic number.

3396480 is a gapful number since it is divisible by the number (30) 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 3396480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5691600).

3396480 is an abundant number, since it is smaller than the sum of its proper divisors (7986720).

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

3396480 is a wasteful number, since it uses less digits than its factorization.

3396480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 3396480 is about 1842.9541502707. The cubic root of 3396480 is about 150.3175494966.

The spelling of 3396480 in words is "three million, three hundred ninety-six thousand, four hundred eighty".