3381408 has 72 divisors (see below), whose sum is σ = 9828000. Its totient is φ = 1102464.

The previous prime is 3381401. The next prime is 3381409. The reversal of 3381408 is 8041833.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3381408² = 22867840124928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3381401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16893 + ... + 17091.

It is an arithmetic number, because the mean of its divisors is an integer number (136500).

Almost surely, 2^3381408 is an apocalyptic number.

3381408 is the 1062-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3381408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4914000).

3381408 is an abundant number, since it is smaller than the sum of its proper divisors (6446592).

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

3381408 is a wasteful number, since it uses less digits than its factorization.

3381408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3381408 is about 1838.8605167331. The cubic root of 3381408 is about 150.0948733144.

The spelling of 3381408 in words is "three million, three hundred eighty-one thousand, four hundred eight".