3408480 has 120 divisors (see below), whose sum is σ = 12074832. Its totient is φ = 905472.

The previous prime is 3408479. The next prime is 3408511. The reversal of 3408480 is 848043.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12829 + ... + 13091.

Almost surely, 2^3408480 is an apocalyptic number.

3408480 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 3408480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6037416).

3408480 is an abundant number, since it is smaller than the sum of its proper divisors (8666352).

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

3408480 is a wasteful number, since it uses less digits than its factorization.

3408480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 3408480 is about 1846.2069223140. The cubic root of 3408480 is about 150.4943688728.

The spelling of 3408480 in words is "three million, four hundred eight thousand, four hundred eighty".