3009408 has 64 divisors (see below), whose sum is σ = 8482320. Its totient is φ = 942080.

The previous prime is 3009407. The next prime is 3009421. The reversal of 3009408 is 8049003.

3009408 is digitally balanced in base 2, 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 (64).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3009401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6298 + ... + 6758.

Almost surely, 2^3009408 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 3009408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4241160).

3009408 is an abundant number, since it is smaller than the sum of its proper divisors (5472912).

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

3009408 is a wasteful number, since it uses less digits than its factorization.

3009408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 3009408 is about 1734.7645373364. The cubic root of 3009408 is about 144.3755628621.

It can be divided in two parts, 300 and 9408, that multiplied together give a square (2822400 = 1680²).

The spelling of 3009408 in words is "three million, nine thousand, four hundred eight".