3300480 has 128 divisors (see below), whose sum is σ = 11750400. Its totient is φ = 875520.

The previous prime is 3300449. The next prime is 3300491. The reversal of 3300480 is 840033.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17185 + ... + 17375.

It is an arithmetic number, because the mean of its divisors is an integer number (91800).

Almost surely, 2^3300480 is an apocalyptic number.

3300480 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 3300480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5875200).

3300480 is an abundant number, since it is smaller than the sum of its proper divisors (8449920).

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

3300480 is a wasteful number, since it uses less digits than its factorization.

3300480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3300480 is about 1816.7223233065. The cubic root of 3300480 is about 148.8877733966.

The spelling of 3300480 in words is "three million, three hundred thousand, four hundred eighty".