3361008 has 60 divisors (see below), whose sum is σ = 10107240. Its totient is φ = 959616.

The previous prime is 3360997. The next prime is 3361031. The reversal of 3361008 is 8001633.

It is a super-2 number, since 2×3361008² = 22592749552128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

3361008 is a modest number, since divided by 1008 gives 336 as remainder.

It is a congruent number.

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, 1638 + ... + 3066.

It is an arithmetic number, because the mean of its divisors is an integer number (168454).

Almost surely, 2^3361008 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 3361008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5053620).

3361008 is an abundant number, since it is smaller than the sum of its proper divisors (6746232).

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

3361008 is a wasteful number, since it uses less digits than its factorization.

3361008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1454 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 3361008 is about 1833.3052119055. The cubic root of 3361008 is about 149.7924239916.

The spelling of 3361008 in words is "three million, three hundred sixty-one thousand, eight".