3322480 has 80 divisors (see below), whose sum is σ = 9374400. Its totient is φ = 1069056.

The previous prime is 3322441. The next prime is 3322507. The reversal of 3322480 is 842233.

3322480 = 57² + 58² + ... + 216².

3322480 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3322480² = 22077746700800, which contains 22 as substring.

It is a congruent number.

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, 9346 + ... + 9694.

It is an arithmetic number, because the mean of its divisors is an integer number (117180).

Almost surely, 2^3322480 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 3322480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4687200).

3322480 is an abundant number, since it is smaller than the sum of its proper divisors (6051920).

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

3322480 is a wasteful number, since it uses less digits than its factorization.

3322480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 3322480 is about 1822.7671271997. The cubic root of 3322480 is about 149.2178546724.

The spelling of 3322480 in words is "three million, three hundred twenty-two thousand, four hundred eighty".