3418480 has 80 divisors (see below), whose sum is σ = 9061920. Its totient is φ = 1188864.

The previous prime is 3418469. The next prime is 3418511. The reversal of 3418480 is 848143.

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

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, 19674 + ... + 19846.

It is an arithmetic number, because the mean of its divisors is an integer number (113274).

Almost surely, 2^3418480 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 3418480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4530960).

3418480 is an abundant number, since it is smaller than the sum of its proper divisors (5643440).

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

3418480 is a wasteful number, since it uses less digits than its factorization.

3418480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 3418480 is about 1848.9131942847. The cubic root of 3418480 is about 150.6414015989.

The spelling of 3418480 in words is "three million, four hundred eighteen thousand, four hundred eighty".