3340008 has 96 divisors (see below), whose sum is σ = 10833600. Its totient is φ = 933984.

The previous prime is 3339989. The next prime is 3340009. The reversal of 3340008 is 8000433.

3340008 = T₃₁₇ + T₃₁₈ + ... + T₃₇₂.

It is a super-2 number, since 2×3340008² = 22311306880128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3340009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71041 + ... + 71087.

It is an arithmetic number, because the mean of its divisors is an integer number (112850).

Almost surely, 2^3340008 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 3340008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5416800).

3340008 is an abundant number, since it is smaller than the sum of its proper divisors (7493592).

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

3340008 is a wasteful number, since it uses less digits than its factorization.

3340008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3340008 is about 1827.5688769510. The cubic root of 3340008 is about 149.4797980182.

The spelling of 3340008 in words is "three million, three hundred forty thousand, eight".