3006408 has 48 divisors (see below), whose sum is σ = 7955280. Its totient is φ = 946656.

The previous prime is 3006397. The next prime is 3006413. The reversal of 3006408 is 8046003.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8491 + ... + 8837.

It is an arithmetic number, because the mean of its divisors is an integer number (165735).

Almost surely, 2^3006408 is an apocalyptic number.

3006408 is a gapful number since it is divisible by the number (38) 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 3006408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3977640).

3006408 is an abundant number, since it is smaller than the sum of its proper divisors (4948872).

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

3006408 is a wasteful number, since it uses less digits than its factorization.

3006408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 3006408 is about 1733.8996510756. The cubic root of 3006408 is about 144.3275721728.

The spelling of 3006408 in words is "three million, six thousand, four hundred eight".